#projectile motion formula

[academiawho]

I wanted to ask one more thing. What was your routine back in 11th and what is your routine currently? I'm know I'm not gonna have the same routine as you but maybe i could get some help with it and take some motivation from that schedule? I also like need guidance with chemistry and physics, wht kind of techniques you use for scoring well in those subjects? I have been facing some issues with equilibrium chapter (I'm not able to solve those ionisation constant sums and sums related to finding K.equilibrium)

In physics, i have screwed up big time in motion in a plane. Like I understood the formulas and how they were derived but I can only solve sums that are directly asking to find max.height or time of flight or max.range etc etc. If the sums are twisted, I get confused and evrything becomes a mess. I told my physics professor about my poor score in motion in plane, he asked me to focus on the next chapters that will be asked in next test (laws of motion and work, power and energy).

Also, a big thanks for answering my previous asks! I got the guidance I needed! you're amazing thank you so much <3

Hi! Since it's a lot to unpack, I'll go in points (feel free to remind me if I missed anything):

What was your routine back in 11th -> -> -> I was in 11th grade during Covid, so my routine was basically getting up, trying not to die, helping my family members to not die, attend online classes, complete homework, blink through online tests and sleep. I'm sorry I don't have a better answer to the first part of the question, I wasn't the most ideal person one could base one's routine off.

and what is your routine currently? -> -> -> I wake up, study any topic for an hour or half and hour if I'm in a hurry for coaching, and I head over. I reach there early and study in prep for the day. After reaching home from coaching, I either write a test or prepare for a test. I sleep. A positive indoctrination by my father since my childhood is that sleep is imperative for optimal functioning. And I'm given free rein to shift things around in my day so that I can study when I'm feeling my best self.

I also like need guidance with chemistry and physics, what kind of techniques you use for scoring well in those subjects? -> -> -> lots of practice and lots of mistakes that I've learnt from. I have tried to orient my mental activity to look at a question and see the competitive perspective of it. In chemistry, it usually helps in organic to know what the examiner wants you to apply, which concept or reaction etc. A good teacher also helps, whether it be for shortcuts or for understanding the concepts to the point that you don't need shortcuts. A lot of practice is my suggestion.

I have been facing some issues with equilibrium chapter (I'm not able to solve those ionization constant sums and sums related to finding K equilibrium) -> -> -> I think everybody and their grandmother have an issue with equilibrium. I find equilibrium to be a concept-based chapter unlike a lot who think of it as a formulae-dependent chapter. For equilibrium, one needs solid lectures (quality, not quantity, remember). And charts and repeated practice.

If the sums are twisted, I get confused and everything becomes a mess. -> -> -> some gentleness with solving might help. Take a plain sheet of paper (ruled or not doesn't matter) and write down what the question has given us, and what it is asking. Then write down what exactly we need to get the answer. For example, the equation of trajectory is given to you in the question, and they have asked you to find the range. Given: equation. To find: range. We need: u and theta. What we have: y = 0 because when range is achieved, the y coordinate is zero. From there you solve it step by step.

Also, take a deep breath, these are beginner's jitters. I'm sure with practice they'll clear up.

ps: a link that helped me with memorising the equations for range, height and time of projectile ->

💛

[lamaenthel]

Tivaevae | Chapter Eleven: Sashiko

Still struggling to emotionally recover from Master Obi-Wan's deception, Ahsoka discovers in the aftermath that twelve-year-old Boba Fett has been locked up among adults in the Republic Judiciary Central Detention Center. After convincing Chancellor Palpatine to grant him a pardon, she manages to secure his release on the condition that she serve as his legal guardian. Now, with the help of Master Plo and the Wolfpack, she vows to help him track down what family he has left.

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Fandom: Star Wars Characters: Ahsoka Tano, Boba Fett, Plo Koon, Obi-Wan Kenobi, Mace Windu, Kanan Jarrus, Sheev Palpatine | Darth Sidious, CT-27-5555 | ARC-5555 | Fives, CC-1119 | Appo, Dexter Jettster, FLO | WA-7 (Star Wars), Shaak Ti, ARC Commander Blitz (Star Wars), CT-6922 | Dogma, Original Clone Trooper Character(s) (Star Wars), CC-3636 | Wolffe, Clone Trooper Sinker (Star Wars), Clone Trooper Comet (Star Wars), CC-2224 | Cody, CT-5597 | Jesse, CT-4860 | Boost, Aurra Sing, Tobias Beckett, Null-11 | Ordo Skirata, Kal Skirata, Original Mandalorian Characters (Star Wars), Original Droid Characters (Star Wars), Original Jedi Character(s) (Star Wars) Total Word Count: 123,000 Chapter Word Count: 8,258 Chapter Summary: Anakin and Ahsoka have a long-awaited talk, Boba bids goodbye to his brothers and Master Plo, and Obi-Wan and Cody escort Ahsoka and Boba to Corellia.

Ahsoka had lathered up three times already but the water still swirled pink around her feet. She squeezed more gel soap into her hands from the dispenser and scrubbed at her montrals and lekku again. The soft, stretchy skin was going dry and scaly from the harsh GAR formula, but the damn water was still pink. She wasn't sure if it was only Jesse's blood or if Aurra had splattered on her too, but it was certainly reluctant to wash away.

She scrubbed underneath her rear lek and tried not to think about the way the side of Aurra's head had exploded like a rotten melon. She'd forgotten how different a firearm worked than a blaster. They were even more uncivilized in somebody's opinion, so the only experience she'd had with one before Kal Skirata's sniper was when she'd gone through the standard projectile-weapon safety course that all Initiates had to take before undergoing their Gathering.

She hadn't fired one, then, but she did remember being amused by what it had done to the sǫnkë squash that her instructor had used as a target. Strings of the vegetable's magenta guts had flown out like confetti and stuck to the rock wall behind it as Master Skoll had grimly explained the third law of motion and what happened when a bullet came to a very sudden stop against organic material. At the time it had been funny, but Ahsoka hadn't expected a humanoid skull to explode so similarly to a squash.

She realized now that that was probably the point of using it. Master Skoll was a very practical man.

She rinsed off one last time, choosing not to look at the water again, then shut the water off. She was as clean as she was going to get, though the barracks shower was a far cry from the hot soaking bath she longed to indulge in at the Temple. She wandered out to the wall of sinks and gently patted her montrals and lekku dry with the scratchy towel. She tried not to wince at how tender they were from all of their activity – the reflexive swelling, the aposematic undulating, and especially the spine-bongo she'd been playing with her rear lek had taken a toll on the normally languid organs – then she massaged the preen glands at the base of her lekku tenderly, trying to spread a little bit of her natural oil back into her skin.

She needed some caara spray or she was going to crack right open, she could feel it. She fought the urge to scratch at her montrals. The skin felt tight there, too tight and too dry and it stung and–

"Ahsoka?" Anakin called from the locker room, and she felt a warm tingle go down her spine from his little reassuring nudge in the Force.

"Almost done!" Ahsoka called back and began to pull on her clothes, still warm from the laundry pod. She took a deep breath and breathed her anxiety out into the Force. She was hyperfixating on how uncomfortable she was so she couldn't linger on the emotional baggage, her brain so exhausted and wired at the same time that it couldn't stop racing. She had to calm down before she resorted to stealing Anakin's t'bac sticks.

It wasn't like he could tell her not to if he was smoking again.

Anakin sat on a bench in the locker room, guarding the door against any wayward troopers that might wander in so she could shower undisturbed. He looked up from the message he was typing on his commlink to smile at her as she turned the corner. "Better?" he asked, closing his message center and patting the bench beside him.

"Much." Ahsoka plopped down beside Anakin and rested her head on his damp shoulder. His hair was still wet from his own shower. "What time is it?"

"Just after 0100." Anakin scratched between her montrals and she started purring. "You doing okay?"

Her purr stuttered and she raised her head. "Yeah, why wouldn't I be?" she asked after clearing her throat.

"Big night. And what happened with Aurra Sing." He glanced down at her. "I already told you, you made the right call. She's been arrested dozens of times. Clearly the Republic is incapable of keeping her in custody."

"Yeah." She picked at her cuticle. Anakin gently separated her hands before she drew blood. "I don't feel bad for ordering her death, but I feel bad that I don't feel bad," she admitted. "And… she had surrendered. It wasn't the Jedi way."

Anakin took her hand and squeezed it. "When Obi-Wan trained me, we were keepers of the peace. To make sure that you survived this war, I had to train you as a soldier." He smiled sadly, and that wine-dark stain of guilt was back around his aura. "The way you fearlessly called Kal Skirata's bluff, then charged off to save Boba with Jesse's blood still wet on your hands… You're a magnificent Jedi, Ahsoka, but you're also the soldier I trained you to be. Sing may have only planted a few pipe bombs, but the place was packed. You didn't just protect Boba, you prevented a massive amount of civilian casualties. You made a Commander's call."

"I'd already destroyed the detonator," she confessed, feeling conflicted. She'd been a soldier for so long that it almost felt more natural than what her lifelong teachings told her.

"Do you know for sure that she didn't have a backup? Or that she couldn't have rerouted the command to her commlink?" Anakin watched her carefully, his aura muted green with sympathy-pride. "I'm telling you that you chose correctly, Ahsoka."

The endless compassion that her Jedi upbringing had instilled in her was arguing with Anakin's logic. On one hand he was completely right, she had eliminated a dangerous and immediate threat to not just Boba, but all of the innocent people at the fairgrounds. Aurra Sing wasn't just a bounty hunter or even just a monster, she was a terrorist, and a repeated one at that. She'd tried to turn Boba into one too. She needed to be put down, but Ahsoka would be lying if Aurra's history of terrorism was anywhere near the forefront of her mind when she'd raised her fist and signaled for Skirata's sniper to fire. It had been about protecting Boba from her, forever.

Ni ven'kyramu ad kebbur.

"It was the right call," she agreed quietly. "Even if it wasn't… wasn't what I was thinking about at the time."

"And that's exactly what I'm going to tell the Council in the morning." Anakin smiled down at her. "The first part, anyway. Somehow I have to make time to testify about it first thing, even though we're deploying at 1100."

"We're deploying?" Ahsoka squawked in alarm. "Kriff. I guess Boba can stay in my quarters on The Resolute, but I didn't even get a chance to tell Rex about my cuirass yet so it's still–"

"Ahsoka." Anakin interrupted her with a very pointed look. "You are not bringing Boba into an active warzone."

Ahsoka's shoulders sagged. She didn't even know how Master Plo's dinner with the headmaster had gone yet, what if he had said Boba could shove off? She'd seen advertisements for luxurious boarding houses for pets on the holonet, did they have something like that for children? Would Boba even stay in one of those, or would he run away? What if–

"Commander." Anakin snapped his fingers to get her attention. "You're not going with us. You can't be deployed until you find a place for Boba to stay."

"Oh," Ahsoka said, dismayed. "Can… is he even allowed to stay at the Temple?"

"Not long term. But you're going to Corellia to find Kaisa Skirata, so hopefully it won't be necessary."

"I don't know if I want to leave Boba with the woman who abandoned him," Ahsoka said, biting her lip. "I need to meet her first and get an idea of who she is, and see if I can even trust her with him."

"Well, she is his mother." He rolled his eyes at her giggle. "You can't blame me for thinking you meant she was his biological mother without context, brat."

She giggled again. "It was still funny."

Anakin shook his head and dug a little leather pouch from his pocket, flipping it over in his hands. "I got you a present," he finally said, then handed it to her.

It made of soft, black leather that smelled strongly of chandanam oil, and it had a little marg sabl flower embossed on the front of it. The top had a drawstring closure and was on a cord so it could be worn around the neck or tied to a belt. Something rattled around inside of it. "This is pretty," she said, examining it. It felt like mosasaur leather, which was surprising. He had to have gone to a Togrutan artisan to get it. She opened the top curiously and let the contents spill into her hand.

Her soul fell out of her body and straight down to the planet's core at what she saw.

"It's Aurra's." Anakin's hands fidgeted in his lap in stark contrast to the way she'd frozen. "I thought you might want to do that ceremony thing with Boba." He glanced at her from the corner of his eye, his aura suddenly vibrating with pale orange anxiety-indecision-unease.

She stared at the long, bloody tooth in her hand. It had been rinsed off but was far from clean, and had a gold filling in it. "How…" she asked, barely able to wrap her mind around it.

"Well, it was a pretty long fall, and the coroner didn't get there right away." Anakin shrugged and looked at his knees.

Ahsoka carefully put the tooth back into the bag and pulled the drawstring shut. "You were furious when I took Krell's teeth," she said after her brain rebooted and she remembered how to speak out loud. "You glued them back into his head because you said I had mutilated his corpse. Why would you–"

"I was never angry about you taking his teeth, Ahsoka. Hell, I almost told you to go get a shotgun so we could blow his face off and cover it up that way, but they'd already submitted the autopsy report." His lip twitched. "It was because you took so many." Anakin's aura went soft gold with humor. "Aurra's tooth was sort of an… impulsive grab," he continued quietly. "The pouch is the real gift, even if the purpose is the same. I got it for you to keep Krell's tooth in."

Ahsoka slowly met her Master's eyes.

"You thought I didn't see you snag that molar?" he asked wryly.

Ahsoka felt her stripes go black. "No," she admitted.

Anakin smirked. "I know everything, Snips."

She almost snorted. If that were true, then Rex would have been transferred to another battalion by now before she could do something stupid, like obey her stupid heart and tell him how she felt. "Well, you didn't know that I lost it on Geonosis," she said glumly. "I think it fell out of my belt when Boba used it as a sling for my arm. It must be still down there, but if it's the will of the Force that it rests there, then so be it."

"Really?" Anakin looked very surprised. "You could just… give it up like that?"

Ahsoka shrugged. "It's a shame, considering how long I've been carrying it, but it was never for me. It was for Dogma, for whenever he returns to us."

Anakin's face softened and his aura darkened a redder shade of violet with grief. She knew he didn't believe that Dogma would ever return, but she refused to give up hope. "You have a very, very big heart, Ahsoka." Anakin took her hand. His flesh one shook a little. "And I'm so sorry. You have every right to hate me–"

"Master, no!" Ahsoka immediately protested. "You made a mis–"

"You need to let me say this, because it's all I can think about and I'm going to explode if I don't get it out," Anakin interrupted her.

She shrank. "Okay."

"I messed up. I completely betrayed your trust and I left you swinging in the wind when you needed me the most, and then I broke your kriffing arm because you wouldn't abandon me to rot in my own self-pity. It doesn't matter if I meant to or not. I still did it." He looked away, his aura deep green with disgust-regret-guilt at his own actions. "You know… you know how I grew up," he continued quietly. "That was the kind of thing Watto would do, and later say he didn't mean to go that far when my mom was splinting my fingers or begging him to let me see a medical droid. And I did it to you." His aura was one thing, but it was the self-loathing in his voice that killed her.

She threw her arms around his neck so he couldn't see the tears welling up in her eyes, but she could do nothing about the sound of her heart breaking clean in half. "You're forgiven, Master," she said softly, breathing in the warm, clean smell of his neck. "But I haven't forgotten about that Gungan shaak roast. You're still taking me to Naboo."

Anakin laughed quietly and squeezed her in a wampa hug that pushed the air out of her lungs. "I'll make sure Jar-Jar clears his schedule. But not until I get back from Goran, and you from Corellia." He squeezed her one more time and then let her go. "I promise, Ahsoka, it will never happen again."

"I trust you, Master." Ahsoka watched his aura lighten like a sunrise at hearing her say it out loud. "As for Corellia, I have no idea what to expect there, and I hate that."

'"Skirata said she really hates Jedi, so you'll need to be on guard. Expect the standard Mando gear– flamethrower, whipcord, all of that."

"Well, Master Plo will hopefully have some ideas on how to deal with–"

"Master Plo is providing air support on Goran." Anakin bit his lip and looked down, going taupe with apprehension. "But you are not going to Corellia without an escort."

"Hm." Ahsoka paused and tried to think who was at the Temple and could go with her. Maybe Master Billaba? She was pretty busy with her own Padawan, though, maybe Master Beq could get away from the crèche long enough to…

Ahsoka looked at Anakin with a sudden feeling of dawning horror, realizing he'd already chosen an escort for her. "Nooo," she said, whining like a youngling.

"Yep."

"No, not Obi-Wan!" She almost kicked her feet.

"Yes, Obi-Wan," Anakin smiled. "This will be good, Snips. You'll have a chance to talk it out."

"Is that who you were messaging?" she asked him crossly.

"Maybe."

She did kick her feet at that. "Well, I don't wanna," she complained. Her rear lek swished irritably across her shoulders.

"Well, too bad."

Ahsoka crossed her arms and glared at the floor.

"Don't be like that. It's time to release your anger at him and move on." Anakin's aura faded to a light green with curiosity-apprehension. "How can you forgive me so easily and not him?" he asked softly.

She stared at the floor and counted the tiles instead of answering. "Master Plo said it's like a wound I'm refusing to let close up," she finally said. "But I feel like every time I do, something happens to rip the scab off. We meditated together on the way home, and he helped me release a great deal of my pain about it, but then we ended up in that alley again and…" She bit her lip. "I smelled his blood and everything came rushing back. It feels like it just happened all over again."

Anakin nodded and thought for a moment. "You need to yell at him," he said decisively.

Ahsoka gaped at her Master. "I can't yell at him," she said after a few moments of staring.

Anakin shrugged. "Always helps me."

"He's a Jedi Master, he's on the Council, I can't just yell at him–"

"Ahsoka, he used to change your diapers." Anakin rolled his eyes. "You can yell at him. I promise, he'd actually prefer it if you did. He thinks you hate him."

"First of all, I was potty trained by the time I came to the Temple," Ahsoka said defensively, and her Master started snickering. "And second, second–" she said loudly over Anakin's laughter, " –the problem is I don't hate him. If I hated him, I wouldn't care."

Anakin wrapped an arm around her shoulders and shook her. "Snips, listen. Boba just saw his molester's brains get blown all over a roller coaster, and tomorrow you're taking him to go meet the mother who abandoned him. You need to pull it together for him, and if that means yelling at Obi-Wan and getting it out of your system once and for all, then that's what you are going to do."

His words reached inside her chest and squeezed the blood from her heart like a hand around a jogan fruit. He was right, again. She was being selfish. Boba needed her support now more than ever, and to be there for him properly she needed a clear head. "Fine, I'll yell at him," she grumbled. "And then when he grounds me to the Agricorps for ten years, you can explain to him why I was so insubordinate."

"Good girl." Anakin squeezed her and gave her a cheery peck on the forehead, his aura a deep, rich orange with pride-affection-humor. "Let's get going."

"Okay." Her heart sank a little, knowing she wouldn't see him again until they were both back. "Thanks for the talk, Master. I know you're eager to get out of here and go to… well, you know." Ahsoka stood up and fidgeted with her new pouch.

Anakin goldened with amusement and he stood with her. "I'm not going anywhere, Snips."

Ahsoka blinked at him in surprise. "Really?"

"Yeah. I haven't seen you in almost two weeks," Anakin said easily, pulling her back under one arm. "Come on. Let's go see if that pillow fort is done yet."

She tried and failed to hide her smile. Anakin choosing to spend time with her over Padmé? She almost peeked out of the hallway window to see if the sky had fallen.

"It sounds like they're having a good time," Anakin said with an eyebrow up and an aura like burnished gold. She recognized the Toydarian drumbeats vibrating through the rec room walls from Anakin's podracing hologame and there were at least a half-dozen loud, raised voices that were either really excited, or really angry.

That was fairly par for the course for that specific podracing game. Anakin had programmed in features capable of fracturing even the deepest of friendships.

"I'm glad," Ahsoka said. "He needs the distraction." She keyed the door open and felt the wave of bright yellow-orange excitement from the boys practically blow her lekku back like a strong wind. The pillow fort had been rebuilt and was even more elaborate than before. They'd propped up the sheets high enough to encapsulate the couch, where Jesse and Tup had been left elevated in places of honor given their injuries. Fives, Boba, and Kix were all cross-legged in the front of the tent, hollering over one another and debating the race, while Rex and Cody laid back on their elbows and were eating from a massive bag of caramel bang-corn, their auras bright gold with humor-amusement at the ruckus.

"I would have won if you hadn't thrown that hydrospanner, you little–"

"Don't blame me!"

"Oh I'm blaming you, you didn't have to–"

"Ahsoka!" Boba tossed his controller down and darted across the room, nearly knocking the wind out of her as he hit her like a meteor. His aura resonated with blue relief as his arms snagged around her waist and squeezed her tight.

"You okay?" she asked him softly, wincing at his two purple eyes. His nose was fine but he still looked like he'd gone three rounds with a rancor, and his aura was practically vibrating around him. He was overtired, but she sensed he didn't want to go to sleep and face his dreams quite yet.

"Obviously," he scoffed. "You look like shit."

She rolled her eyes. "Thanks. Having fun?"

He shrugged. "Fives is being a bitch because I beat him four times in a row."

"He threw a hydrospanner at my podracer five meters before the finish line!" Fives whined.

Behind her, Anakin chuckled. "I distinctly remember you doing that to Echo and him not speaking to you for a full week after."

Fives rubbed the back of his head and pouted. Ahsoka made eye contact with Rex over Boba's head; his aura had gone a brilliant copper with affection-happiness and his smile was soft enough to make her pulse quicken.

Boba had his head on her chest; he glanced behind him at Rex, then flared bright orange with smugness-validation. He glanced up at her with the sneakiest, shittiest little smirk she'd seen on him yet.

"Ne'johaa," Ahsoka mumbled into his ear, making him cackle and flare gold, then crossed the room and gently plopped down between Tup and Jesse. She gave Tup a sympathetic kiss on the cheek next to the bacta patch plastered over his stitches first, then stretched out between Jesse and the sofa back and hugged him tightly, careful of the IV still sticking out of his arm. "Thank you," she said into his thick neck, too aware of the fact that she knew what it looked like on the inside. She closed her eyes and tried to pretend the smell of his blood didn't still linger in her nose. She'd nearly lost Jesse before; breaking his neck on Carmexa, splitting up on Xior-Cal to blow the spaceport, the nightmare that was Umbara, but this time was the closest call. "Thank you, thank you, thank you." She punctuated every sentence with a rub of her lek against his cheek.

"Anytime, Commander," Jesse said drowsily, his aura deepening with copper and blue. He scratched between her montrals and made her purr. Her arm snaked over Jesse's chest and pulled him closer.

"That's a good time." Anakin stood with his arms crossed, looking at the scoreboard on the hologame. He gave Boba a friendly smile. "You play a lot of racing games?"

Boba shrugged and looked at his feet, his aura pale yellow with anxiety-embarrassment. "I guess," he mumbled. "I like this one though. It's funner than most."

Skywalker's smile widened. "Thank you." Boba raised a confused eyebrow at him and he laughed. "I made it. It was my final project for my advanced programming module."

"You made the game?' Boba asked, bright blue with surprise.

"Yeah." He smirked down at Boba. "Wanna race?"

"Please put him back in his place, General, he's been kicking my shebs for the last hour," Fives whined.

"We should go to sleep," Ahsoka said, a wave of exhaustion suddenly hitting her like a speederbus. She was warm, clean, had a belly full of meat, and was surrounded by clan. She was safe.

"One game, then we'll tuck in. What do you say?" Anakin tilted his head at Boba.

"You're on," Boba grinned, going bright orange with excitement-competition.

"No offense, Commander, but I've got a bruise the size of you on the side you're laying on." Jesse kissed her on the forehead then rolled her over him and off of the sofa before she could react, letting her fall directly into Rex's lap with a surprised squeak. "Special delivery, Captain."

"Oh." Ahsoka blinked up at Rex, disoriented from the new and unexpected position. "Hi."

"Evening, Commander," Rex said stoically, then broke into a grin.

She smiled back like her heart wasn't broken. She couldn't help but think about what had been done to him. He deserved to know that he had parents who loved him, that he had not just one but two little brothers – or big brothers, technically – who had meant the world to him, but if there was any chance of getting through whatever the Kaminoans had done to his mind to make him so resistant to even thinking about the truth, then it had been stolen and sent to Corellia in the datafiles of Boba's armor. Those holopics were all they had outside of their word to convince him. They'd even taken the kriffing tooka doll. It would have to wait until she got back from Corellia. Whether or not Boba came back with her, she'd at least have the holos to show–

Her eyes snapped onto a small orange stone on a string around his neck that smelled like the Togruta who had left the scent mark on him. A small growl escaped from her before she could stop it.

Rex's eyebrows went up and his aura turned yellow with caution-unease. "What?" he asked her warily.

"What is that?" She flicked the stone.

Rex's aura went almost neon yellow with embarrassment. "It's uh, a good luck charm?"

"Helps enhance his fertility, too," Anakin quipped with a grin and an aura bright gold with humor.

Ahsoka blinked a few times and resisted the urge to rip it off his neck.

"Do you want it for your rock bowl?" Rex asked hesitantly, untying the string and handing it to her.

"Thanks," she said stoically. She tucked the stone into the pocket of her leggings and resolved to throw it off the nearest rooftop at the first opportunity.

Cody moved the giant bag of bang-corn so she could properly nestle between them. She ended up with her head on Rex's chest and her legs strewn across Cody's lap, watching the hologame through half closed eyes. "Take it easy on him, Master," she murmured sleepily.

Anakin sat down on the floor next to Kix and relieved him of his controller. "Absolutely not," he said with a wink at Boba. "Did you do the Canto Bight track yet?"

"No." Boba plopped down on the floor next to him.

"Perfect." Anakin's smirk only grew as he quickly thumbed through the maps. "This one is fun. You have to avoid running into the fathiers."

"What happens if you do?"

"You explode." Skywalker wiggled his eyebrows and grinned. "Ready?"

"Just one game," Ahsoka reminded them. Her eyes were already fighting to stay open, Rex's chest far too comfortable and familar of a pillow for her to stay awake on.

"Yep." Anakin winked at her over his shoulder.

She lost her battle with sleep before they'd finished their first lap.

Boba blearily blinked his eyes open at the sound of something falling to the floor and the whispered exclamation of kriff. He focused enough to make out Skywalker's lumbering silhouette in the door of the tent, making a face at his fallen lightsaber and standing with only one boot on.

Sorry, he mouthed apologetically to Boba, then pulled on the other boot, picked up his lightsaber, gave a little wave, and tiptoed out of the room. The chrono above the doorway was barely visible, but it looked like it was right after 0500.

"Skyguy," Ahsoka mumbled into Boba's forehead. She snuggled her face closer to his in favor of waking up, her lek warm and dry against his cheek. Tiarek lay at his back, an arm thrown across them both. Boba didn't actually remember falling asleep; his mind had been spinning and anxious, but Ahsoka's ba'jurur had been more than happy to play hologames with him until everyone else was asleep and he couldn't keep his eyes open anymore. He vaguely remembered falling asleep sitting up during the Bespin level, then nothing. He had been too exhausted to even dream.

He laid very still so he didn't wake either Tiarek or Ahsoka. He wanted to just listen to their breathing for a minute and pretend that everything wasn't about to change. His mother was alive, and she had his armor. He didn't understand how it was possible. Had the Geonosian shaman somehow known with his Force powers, or was it just a coincidence that he'd told him that his mother and Cassus were alive?

He didn't want to go to Corellia. He didn't want to see her. His mother had left him behind, why did Ahsoka think that she wanted him anymore? She'd clearly made her choice, been willing to fucking die for it. She hadn't taken him or Tiarek with her, she'd taken her biological child. Jango's vat scum obviously didn't mean the same to her.

He didn't want to ditch Ahsoka but he definitely couldn't live with the fucking monks, and he wasn't stupid enough to think that he could tag along on a warship. Maybe he could find a job? Something that would be safe and wouldn't take him off world, since that would definitely give the overgrown tooka a panic attack. He could fix things, he was a good slicer, and while he had a feeling that she'd have a lot to say about him using his blaster to make money, once he was thirteen and had gone through his verd'goten she wasn't allowed to tell him no.

'Course she probably would anyway, since she wasn't Mandalorian and had a decent-sized stick up her ass; even if she did have more mando'kar than Kal and all of his sons combined, she was still a Jedi.

"Rise and shine, boys." Cody sat up and yawned. "You too, Commander."

Ahsoka and Boba made protesting grunts and snuggled closer. Tiarek's arm tightened around both of them.

"Oi." Cody took Tiarek by the shoulder and shook him. His brother's arm popped up and whacked Cody right in the face. "Chakaar!" Cody protested as Tiarek wrapped his arm back around them and snickered.

"We've got a few minutes," Tiarek rumbled, his voice an octave lower from sleep.

"Mm." Cody snaked an arm around Tiarek's neck and wrapped his legs around his waist, putting him into a headlock from behind. "Wake up, vod'ika," he said sweetly over Tiarek's surprised choking noises.

Ahsoka wrapped her arms protectively around Boba and rolled them away from the chaos. "Di'kute," she mumbled, then yelped as Tiarek accidentally kicked her in the shebs. "Will you two knock it off–"

"What's happening?" Tup asked sleepily from the sofa above them; his hair was still in its usual bun, but now hung on the left side of his head like a saggy ear.

"Stay out of it until I check your stitches," Kix grumbled, still face-down on the blanketed floor.

"Commander," Tiarek wheezed, and Boba wasn't sure if he was asking Ahsoka for help or begging Cody to stop, but regardless his ori'vod rolled her eyes and slunk over Boba like a big cat to join the spontaneous wrestling match.

Boba crawled up to the sofa and took refuge with Jesse, who snickered and gave him a hand up. "Who usually wins these?" Boba asked, wincing as Ahsoka shoved her bony knee into Cody's spine.

"It's pretty even odds, actually." Jesse shrugged. "They're obviously bigger, but she's bendier and has the Force."

"Ke'day'duumi, chakaar!"

"Make me, vod'ika–"

"Gar dushne, Cody, you overgrown shabla thimiar–"

"L…language…"

"What in the world is going on here?" Plo sighed from the doorway. He held a large, brown paper bag with handles and stood with the posture of a disappointed father.

Cody blanched and immediately let Tiarek go. "Atten-tion!" he barked, causing the room to explode into motion as the half-asleep troopers all leapt to their feet on pure reflex. Boba was accidentally thrown off the couch by Jesse as he popped to his feet and saluted.

"Hi, Master," Ahsoka said sheepishly, getting to her feet last. She held out a hand to help up Boba, who accepted it with a wince. Jesse had tossed him right onto a hologame controller.

Plo chuckled. "At ease, gentlemen. And koh-to-yah, little 'Soka." He accepted the kiss she planted on his cheek. "I am very relieved to see all of you in one piece." He nodded at Boba. "Especially you, young man. By all accounts, you handled yourself bravely last night."

Boba blushed and looked down. He'd ended up in Ahsoka's lap crying like a fucking baby again, but maybe Plo didn't know that.

"Why is it that the moment I leave you alone, you get into trouble?" Plo teased Ahsoka.

She shrugged. "Trouble seems to find us, Master."

Plo shook his head. "I regret that I cannot stay longer, I must hurry to the Council chambers and then to The Triumphant. But I wanted to let you know, Ahsoka, that if things do not work out with Lady Skirata then contact Yeen Lah at the Tabori Academy in the Mah-Lo-Dahn district. Tuition has been taken care of."

Boba furrowed his brows and let Jesse reach behind him to retrieve a wayward plastoid gauntlet. "What are you talking about?"

Plo gently maneuvered his way through the dressing troopers and sat beside Boba on the sofa. "I have an old friend who is the headmaster of a boarding school here on Coruscant," he told him gently. "He has agreed to allow you to enroll on a probationary basis. As long as you behave yourself, you may attend on a scholarship."

Boba stared at Plo. "You're not worried I'll run away?" he asked bluntly.

Plo shrugged. "I would hope not. It would reflect quite poorly on Ahsoka and myself."

Boba almost asked why he should care on reflex, but bit his lip and nodded instead. It was time to grow up and stop slapping away help when it was offered genuinely. Not everyone was out to get him.

Most people, yes. But not everyone.

"I was very unhappy to learn of what had transpired regarding your armor, but I still wanted you to have these." Plo handed him the bag.

On top was a brand-new leather holster for a WESTAR. Boba picked it up, grinning, and examined it. It was buttery soft and a few shades darker than the ones his father used to have. "Wizard," he murmured.

"Is that bantha leather?" Fives asked, slipping on his pauldrons. Boba handed it to him to see, and he let out a low whistle.

"Indeed." Plo nodded. Next, Boba pulled out the package wrapped in plain brown paper that had been underneath the holster; inside was a dove-gray flight suit meant to be worn underneath his beskar plates.

"Cin vhetin," Plo said with a good-natured rumble. "A fresh start, yes?"

Boba nodded, staring speechlessly at the flight suit. He could feel the roughness of the armor weave embedded into the top layer of canvas, and it had several snaps on the arms and legs that would allow the length to be adjusted. Clearly, it was a garment meant to grow with him. "Why?" he finally asked Plo softly.

Plo's weird face squinched up in a smile. "We all deserve a second chance," he said, then patted him on the shoulder and stood. "Unfortunately, I must hurry, as I believe I'm already late for the Council meeting." He bowed at Boba. "I hope this is not the last time we meet, Boba Fett, but if it is, then let me tell you what a privilege it has been to know you."

"Koh-to-yah," Boba mumbled, his cheeks burning at all of the attention.

Plo's face squinched up even further. "Koh-to-yah," he bowed one more time, excusing himself.

"Hey," Ahsoka said softly after the door slid shut, placing a hand on his knee. "No matter what happens with Kaisa, we're getting your armor back. I'll bite her if I have to."

Boba nodded and tried to smile. "Are Togs really venomous?" he asked in a small voice.

Ahsoka burst into surprised laughter. "Some of us, yes. It's a recessive trait, almost exclusive to Togrutas from the southern continent. I had my glands removed when I was five."

"Really?" Fives asked, crestfallen. "Why?"

"I bit another Initiate," she said with a grin. "Our venom doesn't do anything but cause pain, but I was still deemed too big of a bite risk for them to remain."

"Lame." Fives helped haul Tup and Kix up to their feet. "Let's grab a transport before the lines start, 'lek? See you later, Commander." He leaned down and gave her a kiss on the cheek punctuated with a snozzberry. "And as for you ad'ika," he began, an evil twinkle in his eye.

"Don't fucking kiss me," Boba warned, leaning away.

"I was going to say don't let your dinii'la buir hurt my Commander," Fives snickered.

"I won't," Boba promised. "I don't even know that she's my buir anymore. She'll have to prove it."

"Don't go easy on her. Make her work for it." Fives rubbed his scalp roughly, then gave him a little salute and followed Kix and Tup out the door.

"You're not actually dropping in this condition, are you?" Ahsoka asked Jesse, frowning.

He made a face. "I have no doubt Kix will chain me to a cot in the medbay. You know what a ba'buir he is." He leaned over and gave Ahsoka a hug, then winked at Boba. "See you around, squirt."

"See you." Boba watched him go with an unexpected longing heavy in his chest. His eyes turned on Cody, who was lazily lounging in halvsies. "You're not going?" he asked.

"Nope." Cody smirked at him. "I'm your escort to Corellia."

"Oh good, I'll have a buffer," Ahsoka sighed, then dramatically leaned against Tiarek. "Don't suppose I can commandeer you?" she asked teasingly, fluttering her eyelashes at him.

He laughed and wrapped his arms around her. "Some of us have to work for a living."

Boba rolled his eyes so hard that they nearly fell out of his head. We're not like that, she's my Commanding officer; Boba almost laughed out loud. Ahsoka clearly knew what was happening – the way her heartbeat had jumped like a blaster bolt had gone by her big head last night the second he smiled at her proved that– but she was a Jedi. She was ignoring it until it became background noise, like the way Dad's knee would ache in the rain that never stopped on Kamino. Tiarek, on the other hand, was just a fucking idiot and didn't realize he was in love with her. He probably thought it was totally normal to look at his little sister like she had invented sunshine.

Boba glanced over at Cody, who looked as exasperated as Boba felt. He gave Boba a weary nod of acknowledgement and crammed a handful of caramel bang-corn in his mouth.

"I guess we do at some point. Pretty convenient that we all had shore leave at the same time, though." Ahsoka scrunched her nose and giggled. "The 501st, 212th and 104th? Wild odds."

"Will of the Force," Tiarek deadpanned, then looked over at Boba. He frowned. "What?"

Oblivious says fucking what. Boba readjusted his face so he wasn't looking at his brother like he was the stupidest motherfucker in the galaxy and smiled. "Nothing."

Tiarek let go of his Commanding Officer and yanked him into a hard hug. "You be careful and watch her back, 'lek?" he said sternly.

"What I've been doing, vod," Boba said, his voice muffled by plastoid. He knew they had to let go at some point, but he was willing to wait for Tiarek to do it first.

Given Corellia's proximity to Coruscant, it had been deemed prudent for Obi-Wan and Cody to escort Ahsoka and Boba to the planet on a commercial transport rather than try to beg a ship off of a benefactor. The transport was surprisingly empty, with only a Twi'lek family with a set of very hyperactive little girls running up and down the aisles screaming play songs in Ryl, and a trio of very strongly-scented Chagrians in the aisle nearest the door. All in all, he'd certainly been forced to travel under worse conditions.

He had once had to stow away with Qui-Gon and Satine on a nerf transport. Sometimes he could still smell it in his dreams.

Ahsoka wasn't quite as frosty with him, but she was still quite stiff. She was making an active effort to act normal with him, Obi-Wan could see, but it was almost worse than the cold shoulder. He didn't like that she had to try.

Boba, in contrast to how they'd left Coruscant the first time, was now glued to her side. Every few minutes he'd throw Obi-Wan an unnerving glare before going back to watching something on the datapad he had propped on top of a rancor plush. It appeared that the two had become quite close during their short journey together.

He shouldn't have been that surprised. She had done a great deal for him, and clones seemed to be drawn to Ahsoka, regardless of age.

He finished up the last stitch in the sleeve of her robe, tied off a square knot, and snipped the thread. "Good as new," he said, smiling as he handed them to her.

"Thank you very much, Master." Ahsoka tucked them into her satchel and gave him a small nod and smile, then returned to her homework.

Obi-Wan met Cody's eyes and silently pled for his help. Cody's cheek twitched and he cleared his throat. "What're you working on?" he asked Ahsoka.

Her eyes flicked up. "Trigonometry Three." She looked back down.

Cody looked at him and raised his eyebrows.

"You're on the third module already?" Obi-Wan asked, seizing his opening gratefully. "I was under the impression you were still on the second."

"Started it a month ago." Ahsoka gave him a flat smile that didn't quite reach her eyes, like he was a stranger she was about to ask to squeeze behind in a crowded shopping aisle.

Boba glanced between them, working his jaw. "Gar'copaani ni rejorhaa'i ke'shab?" he asked her.

Ahsoka's eyes went wide. "Boba, no."

"Tion'meg? Ne'baati. Kaysh ne'vegyc chaabi gar. Gett'se'kovid ni ne'chaabi." The boy was looking at him like he was deciding whether or not to bite him.

"Boba, kaysh johaar'i Mando'a," Ahsoka sighed.

Boba met Obi-Wan's eyes fearlessly and dared him to say something.

"My Huttese is quite passable if you'd prefer to swear at me in that," Obi-Wan couldn't help but quip.

"Or I could just tell you to leave her the fuck alone in Basic," Boba snapped.

"Okay." Ahsoka yanked the datapad out of Boba's lap and put it and her homework on the empty seat opposite of them. "Let's go get a snack, 'lek? I know I saw a vending droid."

"Do you need money?" Obi-Wan dug in his pocket and offered her his credit chit.

"No, I–"

"I insist."

Ahsoka took it reluctantly. "Would you like anything?" she asked.

"I'm fine, thank you. Get whatever you'd like."

"I wouldn't say no to a biscuit," Cody added, moving his feet out of the way as she shuffled across the seats. Boba kept direct eye contact with Obi-Wan as she dragged him down the aisle.

"Well, this is going well." Obi-Wan pinched the bridge of his nose and sighed.

"I agree."

Obi-Wan turned his head to look at Cody. "I was being sarcastic, Commander."

"She let him curse you out to his heart's content before, didn't she?" Cody asked, smirking. "I'd say that was an improvement."

"True," Obi-Wan said. "But still." He watched Boba scroll through the menu, all the way to the bottom where the most expensive snacks were usually listed, then repeatedly press a button until Ahsoka smacked his hand away.

"Just give her a bit more time, Sir. She…" Cody made sure the duo was still far enough away to not overhear them. "That Null she chased down led her straight to the alley. I think it's all a bit fresh for her again."

"Which alley?" Obi-Wan asked, confused.

He got the sense that Cody was actively refraining from rolling his eyes. "The alley, Sir."

"The–" Obi-Wan trailed off, crestfallen. The alley in which he'd faked his death. "Oh."

"Yep."

Obi-Wan crossed his legs and frowned. "Why would he lead her there?"

"His exact words were 'I thought I could use the advantage.' "

"Why would that give him an advantage?"

Cody blinked at him. "Sir."

Obi-Wan enjoyed the expression Cody was making when it was directed at clueless shinies, but certainly didn't appreciate it being turned on him. "What?" he asked, trying not to sound offended.

"He did it so she'd be distracted, Sir," Cody patiently explained.

Obi-Wan busied himself with an invisible thread on the end of his sleeve so he didn't have to look at Cody's exasperated face. "Did you ever find out what happened to her arm?" he asked.

"I–" Cody started, but made a quick motion of head at the aisle. "They're coming back."

Ahsoka shuffled back into her seat with an armful of snacks, closely followed by Boba. He had an armful of a luxury brand of Pantoran chocolate treats and he kicked Obi-Wan in the shin as he scooted carelessly by.

Ahsoka tossed a sleeve of chocolate biscuits to Cody, a packet of shortbread cookies to Obi-Wan, then a can of tea to both of them before opening her pouch of jerky. "Thank you, Master." She handed him his chit. "I'll repay you for Boba's hyunakadi. He misunderstood the instructions on the droid."

"No I didn't," Boba said, shoving a chocolate-coated cookie into his mouth. "If you ask me nice I'll let you smell my breath when I'm done."

"Boba!" Ahsoka snapped. "Gev, vod'ika, tayli'bac? Chak'miit'la ne'gaat'tayli. Ni ru'tioni cuy'ehn. Ni nari dar'tioni'an."

Boba frowned and chewed his chocolate with a sour look on his face.

"How much longer to Corellia?" Ahsoka asked, biting the insides of her cheeks and hugging herself tightly. Her knee jiggled at hyperspeed. She looked like she wanted to jump out of the airlock.

"Two hours," Obi-Wan answered.

"Great." She stared out the window into hyperspace.

Obi-Wan watched her silently for a moment. She was stressed, clearly, it didn't take the Force to sense that. Her lekku lay limp and lifeless down her chest and her eyes were tight at the corners. She had forgone her Shilian sash and had chosen a set of dark-brown robes instead of the white and red she usually favored; Obi-Wan knew for a fact that the set he had just repaired weren't her only ones, so it had to be a conscious choice. There was a little black pouch on her belt that he'd never seen before. Despite snapping at the boy only a few moments earlier, she snuck her hand over to Boba's least-chocolatey one and laced their fingers together tightly.

"Do you remember the crèchetale about the purrgil and the oswaft?" Obi-Wan asked her softly.

Boba's expression shifted from hostile to curious for the first time in his presence.

Ahsoka glanced at Obi-Wan without moving her head, and her lip twitched just a tiniest bit at the corner. "I believe that's one of Huyang's favorites," she said quietly.

Cody put his boots up on the empty seat across from him. "How's it go?" he asked.

Obi-Wan looked back at Ahsoka. "Care to do the honors?"

She shook her head. "I'm not sure I remember it right. Maybe you should."

Obi-Wan recognized an olive branch when he saw one. He tried not to smile too wide, then cleared his throat. "A long time ago, in a galaxy far, far away…"

Notes:

MANDO'A TRANSLATIONS Ni ven'kyramu ad kebbur: I will kill anyone who tries Ne'johaa: shush Mando'kar: a zest for life, big metaphorical balls Ba'jurur*: teacher Chakaar: general insult, used like asshole Ke'day'duumi: Let go! Ori/vod/ika: big/sibling/little Gar dushne: you're the worst Ad'ika: Little child, kiddo Dinii'la buir: Crazy mom Gar'copaani ni rejorhaa'i ke'shab?: Want me to tell him fuck off? Ne'baati. Kaysh ne'vegyc chaabi gar. Gett'se'kovid ni ne'chaabi.: I don't care. He shouldn't scare you. Scrotum head doesn't scare me. Boba, kaysh johaar'i Mando'a: Boba, he speaks Mando'a. Gev, vod'ika, tayli'bac? Chak'miit'la* ne'gaat'tayli. Ni ru'tioni cuy'ehn. Ni nari dar'tioni'an: Stop, little brother, understand? Assholery doesn't help. I asked three times. I am no longer asking. OTHER NOTES Sǫnkë squash: A medium sized, hard-skinned squash with a light blue background, dark blue stripes, light pink freckles, and magenta flesh. Native to Felucia and very bitter, but sweetens with fermentation. Often grown as feed for domesticated tamtam birds Mosasaur: large marine reptile native to the equator of Shili, invasive on the Aagani coast of the northern continent Caara: An evergreen tree with needled leaves, native to Shili's southern continent but widely cultivated off world, visually similar to a pine but with a brighter smell like ragweed. Produces between 10-20, 100-lb stonefruits that take a full summer to mature. Caara butter and oil is a popular skincare export from Shili Shunka: Small canid native to Shili (the dogs from Ahsoka's village in TOTJ) Hyunakadi: crispy Pantoran cookie, basically yakgwa but dipped in chocolate Oswaft: Legends creature, similar to a purrgil but resembling a manta ray instead of a whale. Native to the ThonBaka nebula Preemptively for nitpickers: I know that The Triumphant was destroyed at Abregado, Plo's Venator is The Triumphant II Electric Boogaloo Back on my random Togruta anatomy bullshit again ✌️

Taglist: @starwarsficnetwork, @soliloquy-of-nemo Dividers: @saradika-graphics

[suzuki-sibs-bar-and-grill]

Mari if you can explain to me the projectile motion formula I shall shave Omori's hair

I'm not doing that specifically so you won't shave his hair.

[omoris-bar]

Okay okay, if any of you can explain the projectile motion formula, I won't order that vodka

Projectile motion is the motion of an object thrown or projected into the air, subject only to acceleration as a result of gravity. The applications of projectile motion in physics and engineering are numerous. Some examples include meteors as they enter Earth’s atmosphere, fireworks, and the motion of any ball in sports. Such objects are called projectiles and their path is called a trajectory. The motion of falling objects as discussed in Motion Along a Straight Line is a simple one-dimensional type of projectile motion in which there is no horizontal movement. In this section, we consider two-dimensional projectile motion, and our treatment neglects the effects of air resistance.

The most important fact to remember here is that motions along perpendicular axes are independent and thus can be analyzed separately. We discussed this fact in Displacement and Velocity Vectors, where we saw that vertical and horizontal motions are independent. The key to analyzing two-dimensional projectile motion is to break it into two motions: one along the horizontal axis and the other along the vertical. (This choice of axes is the most sensible because acceleration resulting from gravity is vertical; thus, there is no acceleration along the horizontal axis when air resistance is negligible.) As is customary, we call the horizontal axis the x-axis and the vertical axis the y-axis. It is not required that we use this choice of axes; it is simply convenient in the case of gravitational acceleration. In other cases we may choose a different set of axes. Figure illustrates the notation for displacement, where we define s⃗

to be the total displacement, and x⃗

and y⃗

are its component vectors along the horizontal and vertical axes, respectively. The magnitudes of these vectors are s, x, and y.

What he said!

[oofuri2003]

i think alongside math geek abe we also need a bit of physics geek abe. like specifically as it pertains to projectile motion and collisions (aka baseball) but i think he would probably fare alright in a high-level physics class even outside of that. lots of number crunching and memorization of formulas which is his wheelhouse. he's such a jocknerd and i love him - lesfujo

This is actually so true. King of kinetics and also probably fluid physics (since air is a fluid in physics)....physics is mostly math anyway so he would be in mathlete heaven in a physics career path 😭

[heliopausephysics]

2.5 Projectile Motion

Projectile motion is the special case wherein a projected [thrown, in layman's terms] object follows a curved path of motion acted solely upon by the influence of the Earth's gravity.

To find two basic formulae, we do the following:

A thrown object's velocity vector can be broken down into its horizontal and vertical components, which in this case are Vx and Vy. We know from vector laws that the trigonometric functions of cosine and sine can be used to calculate both, respectively.

To find the position of the object, we can use the velocity vector components and simply multiply them by a time t - the time units cancel out [one in the denominator of the velocity -> distance / time; and one in the time t itself] and we add the distance travelled in the relevant axis to its original position at 0,0. This works for the horizontal component as it is independent of the vertical component and is not opposed by external forces [neglecting air resistance]. However, the vertical component is inevitably affected by the Earth's gravity. A different set of more complex mathematical equations tells us the term that is used to subtract from the y position is (gt²)/2.

Using these formulae, we can solve a variety of problems of which an example is given below:

Say Newton throws the apple with an underarm throw, releasing it exactly as his hand touches the ground, sending it forwards at an angle of 45° with a speed of 10 m/s. When will the apple hit the ground? By using the y-position equation in the previous image, we can figure this out. Substituting y for 0 as the ground is at y=0 will allow us to rearrange and solve for t, as is shown above. The answer that is found is 1.4 seconds [neglecting air resistance]!

Here, Newton's equations were in fact a development of Galileo's existing descriptions of projectile motion! This is one of the basics of the Newtonian mechanics framework, and we will go on to discuss its more broad applications to cosmology and astrophysics. We get one step closer to understanding how this transformed into Einstein's beautiful theory of relativity! See you then!

[alek-the-not-so-great]

A Projectile Motion story

Question: How do you speed up/slow down a physical object traversing an already defined trajectory without changing the trajectory?

Short answer: You adequately change the gravity of the object as well.

For the unnecessarily long, nerdy answer continue reading.

/nerd talk start

Not the most scientific of definitions but the classical projectile motion concept is when a physical object is traveling in a parabolic motion due to gravity. The trajectory of the object depends on the initial velocity (speed), angle (aim) and gravity (gravity). (Also height but irrelevant to my case).

So the projectile system in our game is pretty simple: take those three parameters, draw a trajectory, and fire a projectile with those same parameters. It will most certainly follow the trajectory (unless, you like, hit it with a baseball midair or something)

But I caught myself wanting to speed up the projectile because it was moving too slow. Well, it was moving just as much as it should be given its velocity and gravity, but it still felt sluggish. The instinctive thing to do is increase the initial velocity, but then you change the trajectory since the projectile will inevitably travel further.

So I looked up the formula for projectile motion trajectory. As you can see gravity and velocity have an inverse relationship. In other words, whenever I increase/decrease the initial velocity for my projectile all I have to do is proportionately increase/decrease its gravity.

This way the equation balances out and the final value of the trajectory is the same. And voila, I can change the projectile speed but keep the theoretical trajectory the projectile WOULD have traversed if I hadn't changed the speed. (I swear I didn't just speed up the video)

And here I've slowed down the projectile for some possible Matrix shenanigans

So now we can have the same intuitive trajectory but also more flexibility with the projectile speed. Pretty neat, right? No? A little maybe?

/nerd talk end

[edushrine]

The Importance of a Strong Foundation in Physics for JEE Success

Physics is one of the most crucial subjects in the Joint Entrance Examination (JEE), known for its ability to test both conceptual understanding and problem-solving skills. A strong foundation in physics not only helps you score well but also builds the analytical thinking required for engineering. In this article, we’ll explore why a good grasp of physics is essential for JEE success and how to strengthen your preparation effectively.

Why Physics is Vital for JEE

Physics plays a significant role in JEE because it bridges theory and real-world application. It involves understanding natural phenomena through concepts like mechanics, electricity, and thermodynamics. Many students find physics challenging because it requires logical thinking and quick calculations, but it’s also rewarding when approached correctly.

A strong command over physics boosts your overall JEE score since the subject often acts as a deciding factor for top ranks. Additionally, mastering physics sharpens problem-solving skills, which can be applied to other areas of the JEE syllabus, such as chemistry and mathematics.

Steps to Build a Strong Foundation in Physics

Understand the BasicsPhysics starts with fundamental topics like motion, forces, and energy. These basics are building blocks for advanced concepts. Focus on understanding how and why these principles work rather than memorizing formulas.

Visualize ProblemsDrawing diagrams, like free-body diagrams or graphs, helps in visualizing problems. For instance, imagining the trajectory of a projectile or understanding how electric fields interact can simplify complex questions.

Practice RegularlyThe more problems you solve, the better you get. Start with simple questions to strengthen your confidence and gradually move to higher-level JEE problems.

Review MistakesLearning from mistakes is key. Analyze where you went wrong in each problem and focus on improving those weak areas. This approach helps avoid similar errors during the exam.

Strengthen Math SkillsPhysics relies heavily on mathematics. Topics like trigonometry, algebra, and calculus are used extensively in solving physics problems. Having a strong foundation in math makes tackling physics much easier.

How Coaching Helps in Physics Preparation

While self-study is important, coaching institutes play a big role in helping students excel in physics. Enrolling in the best coaching for JEE in Bangalore gives you access to expert faculty, comprehensive study materials, and structured learning. These institutes offer guidance that simplifies even the toughest concepts, making physics approachable and easier to master.

Coaching centers also conduct regular mock tests and practice sessions, helping students build confidence and improve their exam-taking skills. Additionally, doubt-clearing sessions ensure no topic remains unclear, giving students a clear edge.

Tackling Common Challenges in Physics

Many students find physics intimidating. Some struggle with complex formulas, while others face difficulty understanding how to apply concepts to problems. Here are some ways to overcome these challenges:

Difficulty with Concepts: Break down tough topics into smaller parts and focus on understanding each one. Visual aids like videos and diagrams can also help.

Fear of Tough Questions: Start solving simpler problems first, then gradually tackle more advanced ones. This builds confidence over time.

Time Management: Focus on high-weightage topics first and allocate specific time for practicing physics every day.

The Role of Resources in Physics Preparation

Good resources make a huge difference. Books like Concepts of Physics by H.C. Verma and D.C. Pandey’s problem sets are excellent for building a strong foundation. Additionally, the best coaching for JEE in Karnataka provides well-organized study materials, regular tests, and performance analysis, helping students stay on track.

Online platforms are also great for supplementing your preparation. Many coaching centers offer online video lectures and practice tests that can be accessed anytime, making it easier for students to learn at their own pace.

Why Choose Top JEE Coaching in Bengaluru

Joining the Top JEE coaching in Bengaluru can make a significant difference in your physics preparation. These institutes not only teach physics in a simplified manner but also guide students on how to approach JEE strategically. With experienced faculty, comprehensive study plans, and peer group interactions, students gain the confidence to tackle even the toughest physics problems.

Moreover, regular workshops and problem-solving sessions help students develop a deeper understanding of the subject. This holistic approach ensures you’re well-prepared for the challenges of JEE.

Conclusion

Physics is an integral part of JEE preparation and demands a solid foundation. By focusing on the basics, practicing consistently, and seeking guidance from expert coaching, students can turn physics into their strongest subject. Institutes like Edushrine, known for their structured programs, provide the right platform to build your skills and succeed in JEE.

Remember, physics isn’t just about solving equations—it’s about understanding how the world works. A strong foundation in physics doesn’t just help you crack JEE but also prepares you for a rewarding engineering career.

FAQs

1. Why is physics considered important for JEE preparation?

Physics is a core subject in JEE, testing conceptual understanding and problem-solving skills. It carries significant weightage and often serves as the rank-deciding factor due to its analytical nature.

2. How can I strengthen my foundation in physics for JEE?

Focus on understanding the basics, practice regularly, and review your mistakes. Enrolling in a reputed coaching institute like the best coaching for JEE in Bangalore can provide expert guidance and resources.

3. What are the common challenges students face in physics, and how can they overcome them?

Students often need help with conceptual clarity and time management. These challenges can be tackled by breaking down complex topics, practicing daily, and using resources provided by the best coaching for JEE in Karnataka.

4. Are mock tests essential for physics preparation?

Yes, mock tests are crucial as they simulate exam conditions, enhance time management, and identify weak areas. Coaching institutes, such as the top JEE coaching in Bengaluru, offer regular mock tests to help students prepare effectively.

5. Which are the best resources for physics preparation for JEE?

Books like Concepts of Physics by H.C. Verma and coaching materials from top institutes are excellent resources. Online tools and lectures can also supplement your learning effectively.

[durgatrainingpune-blog]

The Importance of Conceptual Learning in Physics

Physics is not a subject that can be mastered by rote memorization; it requires a deep understanding of the underlying concepts. Conceptual learning in physics means grasping the principles that govern natural phenomena, allowing students to apply these ideas to solve complex problems. This approach is essential for long-term success in the subject.

For instance, understanding Newton’s laws of motion is more than just knowing the formulas; it involves comprehending how objects interact under various forces. By understanding the concept behind these laws, students can apply them to solve a wide range of problems, from calculating the motion of a car to predicting the trajectory of a projectile. Conceptual learning ensures that students can adapt to different scenarios, rather than simply relying on memorized equations.

Similarly, topics like quantum mechanics require a firm conceptual foundation. The abstract nature of quantum theory, with its probabilities and wave-particle duality, makes it challenging. However, once students grasp the core ideas, they can tackle complex problems more easily, understanding the logic behind phenomena like quantum tunneling or entanglement.

Conceptual learning encourages critical thinking, problem-solving, and analytical skills, all of which are essential for mastering physics. It transforms students into independent thinkers who can approach any problem with confidence, ensuring that their knowledge is not only retained for exams but applicable in real-world situations.

Physics Coaching Center Gopalganj | Best Physics Teacher (computersciencecoachingcentergopalganj.in)

[syrupspinner]

I completed my friend pedro

im tempted to make a napoleon dynamite reference but, like, why? its one of the first movies in history to be quotable without being funny

there's a genre I like to call "executive violence". it's games that ask for a high level of player skill, and usually has instant death with really fast respawns and no real punishment for failure. hotline miami, ultrakill, and super meat boy (kinda?) are all good examples. my friend pedro is a pretty unique example of this formula, because while it still has the presentation of "kill all the bad guys" it's a lot more puzzle-based, with the action being a framing device.

it's an action platformer don't get me wrong, but the platforming isn't hard per se. the challenge doesn't come from trying to jump from place to place. instead, it's a means of constructing the games strategy. I'll compare it to hotline miami more for the sake of elaboration. HM isn't brainless by any means, but there's a lot of focus of planing out your method of attack, and then trying it: if you're dying, you've gotta make the call between if it's bad execution or bad strategy. are you doing the wrong thing, or the right thing in the wrong way? 

MFP has wayyyyy less of a chance for you to do the right thing the wrong way. that is to say, the game is designed to be way more clear about what strategy is right. it does this in a few ways: first, your combo and points matter a lot more. it's more prominent in the UI and the sound design, there are steam achievements connected to it, and the general ease of the first few levels teaches you that there is always an easy way to get an s rank. it's comparable to how pizza tower encourages skillfully speed running, but with less of an execution window because of MFPs generally slower pace

the slower pace is another way to encourage the player to engage with the enemies with planning instead of execution. your character moves slower than other executive violence games, the bullets are projectiles instead of scanlines, and it's made in unity. that last part was mostly a joke. this helps the player Intuit that while execution is a helpful skill, this game has a low executive ceiling. also there is literally a slow motion bullet time mode

all this combines into a more steady and considerate game. by standards, anyway, I'm not trying to say this is The Longing or anything. it's a really enjoyable change of pace (literally) compared to other action games. if you've been offput by the speed of contemporary action games, give this game a shot. if you like the intensity and velocity of indie action games, then this is still worth a shot because it's still a fun action game

[yoursrosie]

Using some 2D projectile motion formulas to determine how high you had me and how fast I fell for you

[physics-scholars]

Points to remember in Physics Part 10

91. The speed of the projectile is minimum at its highest position.

....This statement is true.....

When a projectile is launched into the air, it follows a parabolic path. At the highest point of this path, the projectile momentarily stops moving in the vertical direction and starts to fall back down due to the force of gravity. At this point, the velocity of the projectile in the vertical direction is zero, which means that the speed of the projectile is also at its minimum.

However, it's important to note that the horizontal speed of the projectile remains constant throughout its motion, assuming there are no external forces acting on it.

92. "The normal acceleration of the projectile at its highest position is equal to g"

.....The statement is true........

At the highest point of a projectile's motion, the only force acting on it is the force of gravity, which acts vertically downwards. This force can be resolved into two components: one in the vertical direction and one in the horizontal direction. The vertical component of the force is equal to the weight of the projectile, which is given by mg, where m is the mass of the projectile and g is the acceleration due to gravity.

The normal acceleration of the projectile is the acceleration perpendicular to its path of motion. At the highest point of its motion, the projectile changes direction and starts to move downwards. Therefore, the normal acceleration of the projectile is equal to the acceleration due to gravity, which is g.

Therefore, the statement "The normal acceleration of the projectile at its highest position is equal to g" is true.

93. The time of flight does not depend on the angles of projection. The greatest height to which a man can throw a stone is H. The greatest distance up to which he can throw the stone is H/2.

The first statement is false, while the second statement is true.

For the first statement, the time of flight of a projectile depends on the angle of projection, as well as the initial speed of the projectile. The time of flight is maximum when the angle of projection is 45 degrees. At this angle, the projectile achieves the maximum range, which is the greatest distance travelled by the projectile before it hits the ground.

For the second statement, the maximum height and maximum distance of a projectile depends on its initial velocity and angle of projection. However, for a given initial velocity, the maximum height that a projectile can reach is achieved when it is projected vertically upwards. In this case, the initial velocity in the horizontal direction is zero, so all the initial velocity is converted into vertical velocity, which allows the projectile to reach the maximum height.

Similarly, the maximum range that a projectile can achieve is also dependent on its initial velocity and angle of projection. However, it can be shown that the maximum range is achieved when the angle of projection is 45 degrees. Therefore, the greatest distance up to which a man can throw the stone is H/2, where H is the greatest height to which he can throw the stone.

94. The weight of a body in projectile motion is zero.

.............

The weight of a body in projectile motion is not zero, it is constant throughout the motion.

Weight is the force exerted by gravity on an object, and it is proportional to the mass of the object. In projectile motion, the force of gravity acts on the object and causes it to follow a parabolic path.

At any point during the motion, the weight of the object can be calculated using the formula W=mg, where W is the weight, m is the mass of the object, and g is the acceleration due to gravity. The weight of the object is constant throughout the motion, and it acts vertically downwards.

It's important to note that the weight of an object is not the same as its mass. Mass is a measure of the amount of matter in an object, while weight is a measure of the force exerted on the object due to gravity.

95. The instantaneous velocity of a particle is always tangential to the trajectory of the particle.

..............

Instantaneous velocity is the velocity of an object at a specific instant in time, and it is a vector quantity that has both magnitude and direction.

The trajectory of a particle is the path that it follows through space, and it is usually a curved path. At any point on the trajectory, the instantaneous velocity of the particle is tangential to the trajectory. This means that the direction of the velocity vector is parallel to the tangent line of the trajectory at that point.

The tangential direction is the direction in which the object is moving at that instant. The magnitude of the velocity vector represents the speed of the object at that instant. Therefore, the instantaneous velocity of a particle is always tangential to the trajectory of the particle.

96. The instantaneous magnitude of velocity is equal to the slope tangent drawn at the trajectory of the particle at that instant.

.............

The slope of the tangent line to the trajectory of a particle at any point on the trajectory gives the rate of change of the position of the particle with respect to time, at that point. This rate of change of position is the derivative of the position of the particle with respect to time, which is equal to the instantaneous velocity of the particle.

Therefore, if we draw a tangent line to the trajectory of the particle at a particular point, the slope of this tangent line gives the instantaneous rate of change of position of the particle at that point, which is the instantaneous velocity of the particle. In other words, the magnitude of the instantaneous velocity of the particle is equal to the slope of the tangent line drawn at the trajectory of the particle at that instant.

This relationship is a consequence of the definition of velocity as the rate of change of position of an object with respect to time, and the geometrical definition of the tangent line as the limit of the secant lines that pass through a point on a curve.

97. Misconception: The direction of acceleration of a moving particle may be directly obtained from the trajectory of the particle.

..............

False. The direction of acceleration of a moving particle cannot be directly obtained from the trajectory of the particle alone. While the trajectory of a particle can provide information about the position and velocity of the particle over time, the acceleration of the particle depends on how its velocity changes over time.

In other words, acceleration is the rate of change of velocity, and it is determined by considering the time rate of change of the particle's velocity vector.

To determine the direction of acceleration of a particle, one would need to analyze the changes in the particle's velocity vector over time, which requires additional information beyond the trajectory. For example, one would need to know the particle's velocity at different points in time and how it changes as the particle moves. This information can be obtained by measuring the particle's motion using appropriate experimental techniques or by using mathematical models to simulate the particle's behavior.

98. Misconception: The acceleration of a particle moving in a circular path with constant speed is zero.

.............

The acceleration of a particle moving in a circular path with constant speed is not zero.

Although the particle's speed remains constant, its direction of motion is changing continuously, which means that its velocity vector is changing.

Therefore, there must be an acceleration acting on the particle to produce this change in velocity vector.

The acceleration of a particle moving in a circular path with constant speed is called centripetal acceleration, and it is always directed towards the center of the circle.

The magnitude of the centripetal acceleration is given by a = v²/r, where v is the speed of the particle and r is the radius of the circle.

This equation shows that the magnitude of the centripetal acceleration is proportional to the square of the particle's speed and inversely proportional to the radius of the circle.

Therefore, even if the speed of the particle is constant, the magnitude of the centripetal acceleration is not zero as long as the particle is moving in a circular path.

The direction of the centripetal acceleration is always towards the center of the circle, and it is responsible for keeping the particle moving in its circular path.

99. Tangential acceleration changes the speed of the particle whereas the normal acceleration changes its direction.

..................

This statement is true.

Tangential acceleration is the component of acceleration that is parallel to the direction of motion of a particle. It causes a change in the magnitude of the particle's velocity vector, or in other words, it changes the speed of the particle.

This type of acceleration can be either positive or negative, depending on whether the speed of the particle is increasing or decreasing.

On the other hand, normal acceleration is the component of acceleration that is perpendicular to the direction of motion of a particle. It causes a change in the direction of the particle's velocity vector, but not in its magnitude. This type of acceleration is responsible for the curvature of the particle's path and is often associated with circular motion. The direction of the normal acceleration is always perpendicular to the tangent of the particle's path, and it is directed towards the center of curvature.

Therefore, tangential acceleration changes the speed of the particle, while normal acceleration changes its direction. In many cases, both types of acceleration are present, and they work together to produce the overall acceleration of the particle.

100. The path length or distance traveled by particles can never decrease with time

The path length or distance traveled by a particle is a scalar quantity that can only increase or remain constant with time. It cannot decrease because the particle cannot "untravel" a distance that it has already covered.

For example, if a particle moves along a straight line for 10 meters and then turns back and moves in the opposite direction for 5 meters, the total distance traveled by the particle will be 15 meters. Even if the particle turns back again and moves in the original direction, it cannot reduce the total distance traveled to less than 15 meters. Therefore, the path length or distance traveled by a particle can never decrease with time.

[meerschweinchen-archive]

these weekly math paper corrections are so annoying like 'where did you get this formula, one point reduction bc you didn't say' bitch I got it from the text book do you want me to put a page number hello

[endorphinmachine]

hi leo

[gumilac]

tap... tap... tap...

"... if we are aware of the initial values of a motion ..."

the professor's voice fades. the lesson, the formula of trajectory, goes down the path of a projectile. MEGUMI takes a peek from the side of his eyes to see you figdeting with your ID, flicking it at the edges — the cause of the tapping noise.

you're not bored, he knows.

it's more of the fact that you just needed to fidget with something to help you sit through the lesson. it'll be hard without it.

and, as much as he wants you to keep going, to ease your need to fidget. you'll get scolded soon, for being too noisy. your classmates are also going to complain and, he's also getting distracted. maybe a little irked.

not that he'll ever tell you, no. it'll be a locked away thought, never to see the light of day.

"... we can tell the path of a projectile without..."

tap... tap... tap...

he releases a sigh, gently takes the ID away from your fingers, and he discreetly slips his hand in yours from under the table. all is unnoticed by you. he rests his head on his palm, elbow resting on the table, an unbothered expression on his face.

as you focus on the lesson, he feels your fingers playing with his, wiggling them around, and pinching them every now and then. you are bound to notice soon. so, he lets you be.

"huh...?"

there it is.

fushiguro pretends to not hear your query as he looks at the board, taking down the occasional notes. he hears your chair screech a little — also, can imagine your face all scrunched up in worry — moving to lean closer to him.

"did you get my ID?" you whisper.

"maybe."

"did i distract you?"

he leans back on his chair, head turning to face you ever so slightly and smiles. soft and genuine. with a gentle voice he discreetly leans into you, whispering.

"nope," he pauses, a light dusting of pink of his cheeks, "not at all. i just wanted to hold your hand."

"oh..." you look at his hand laced with yours, sitting perfectly on your lap. it makes you smile, whispering a small, "okay."

it may be partially true — though megumi also wanted to hold your hand, truthfully — what he said. you know otherwise, you know the real reason as to why he took your hand in his.

but that, you won't tell him either.

aki's notes. quick drabble of observant megumi >>> this could be set in modern university au! i want him to hold my hand whenever i get the finger tingles pls sobs i love him

[satyam-mathematics]

1.प्रतिरोध के अधीन ऊर्ध्वाधर गति (Vertical motion of particle under resistance)-

प्रतिरोध के अधीन ऊर्ध्वाधर गति  (Vertical motion of particle under resistance) का अध्ययन हम पूर्व में कर चुके हैं।इसके पूर्व ��र्टिकल में प्रतिरोधी माध्यम में सरल रेखीय गति को थ्योरी और उदाहरणों के द्वारा समझाया गया है। इसलिए इस आर्टिकल को पढ़ने से पूर्व आपको पहले वाला आर्टिकल पढ़ना चाहिए।

इस आर्टिकल में प्रतिरोध के अधीन ऊर्ध्वाधर गति (Vertical motion of particle under resistance) पर आधारित सवाल हल करेंगे।इन सवालों के माध्यम से प्रतिरोध के अधीन ऊर्ध्वाधर गति (Vertical motion of particle under resistance) को ठीक से समझ सकेंगे।

यदि कोई कण निर्वात में गति करता है तो उस पर कोई प्रतिरोध नहीं लगता है। लेकिन यदि कोई पिण्ड वायु,जल इत्यादि माध्यम में गति करता है तो माध्यम के द्वारा उस पर प्रतिरोध बल लगाया जाता है। ज्यों-ज्यों कण की गति बढ़ती जाती है तो प्रतिरोध भी बढ़ता जाता है।

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