[9:Physics is Awesome]
(A/N: I'll be honest, writing the math and numbers out is so fun, even if the math is maybe not exactly right. If anyone does care, feel free to correct or add more explanations; in fact, I encourage you. I think the numbers should't have too much variation, though. Then again, I'm not the best at math. Also, if you ask why I'm writing it like this, no, it's not to fill space, but because I find it fun, and since I see it as fun, I will write it like that. Enjoy.)
"Alright! Shut up, clock in, and sit! Class has started!" I slammed my hand on the desk to get everyone's attention.
Oh, the purple one is not here, so…whatever, no one cares. And I see it as too much effort to put him through some MKUltra-like experiment to fix him. Seriously, that guy needs a therapist or psychiatrist. But he's not a problem here anymore, so good riddance.
So, everyone was here. Iida was going around trying to correct and fix the smallest things of other students. He needs to chill. You don't need to fix uniform issues unless they leave too much skin exposed. Not counting hero outfits. And who cares if people use a chair or desk in a certain way?
Anyway, what I said certainly got everyone's attention.
"Ms. Eleanor, is such language really allowed? I expect UA faculty to hold themselves to a certain—"
"Tenya Iida! This is barely the start you and everyone elses time here at UA. Now, to a certain degree, yes, you would be right to expect UA teachers and faculty to represent, but this is the hero course, things are different, as are the expectations placed on not only you, but everyone here. Now, I can tell you that I will be firm, but fair."
"Ms. Eleanor, someone is missing." I heard a shy voice. Ah, it's the melon liqueur kid. Midoriya. He was pointing to the empty chair where I was supposed to be sitting after everything else was taken.
"Well, whoever they are, they'd better show up so they don't feel my wrath. If they can't even arrive on time to a class, they won't arrive on time to help a person in need." Alright, I think that fits the firm tone I'm going for.
"You can stop already. This is taking too much time. It's already troublesome so early in the day."
Ah, great, Mr. caterpillar is here. Way to ruin the fun.
Everyone's attention was taken away from me to the yellow sleeping bag. Man, I was really getting into it as well.
"Ms. Eleanor, you wound't happen to be the one who's supposed to be in the empty seat are you?" Damn, Momo already figured it out? Yeah, she would be the one to, who else?
Now everyone was looking at me. I had to close my eyes and hold back a smile.
I held my hand up. "You got me. Yeah, I'm a student in this class. I was hoping I could get away with it a bit longer, though. Oh well, I've already introduced myself." I went down to the empty seat, and would you look at that? I was next to Asui.
Coincidence? Just this once. The seating arrangement already changed. Butterfly effect or whatever. Not like this changes much. But isn't that the point of the butterfly effect, though? Whatever, that stuff's not my thing.
"Hey, Eleanor-chan, where's your uniform?"
"Asui, this is my uniform. At least for today, since I thought I'd get away with pretending to be a teacher here for a bit longer."
"You can call me Tsu, ribbit."
That was quick. She does call everyone with chan, though. Actually hearing it…is not as bad as I thought it would be. Or is it because it's her?
"Alright, with dealt with, we're going outside. Put on these gym uniforms. We'll be doing some tests."
I raised my hand. "Aizawa, I'ma keep it honest, I'm not wearing that. Not because I don't want to, but because my current uniform is too cool to take off."
I sound so—
"Even if I let you, it's impractical."
"This is just a test, Aizawa, it's not that serious."
"Will you keep that attitude when a real villain attacks?"
"Of course not. I know when and when not to act a certain way, and this is still a school. Even if it's for small moments, we need to take those moments to have fun and ease our minds off of the crushing reality of this world. We can do that while still knowing what we're here for."
Oh, that was good. That was good. If I say so myself.
"Suit yourself then. Everyone else, let's go."
/\\//\\//\
Alright, I'm already familiar with this place. We'll be doing tests and whatnot. Now, I doubt they know who I am, and I'm sure they haven't seen my quirk. Well, it'll be fun to see their reaction.
"Listen up, we'll be conducting various tests and exercises using your quirks." He then pointed at me. "You, Eleanor, you came first in the exam by a significant margin compared to everyone else. It wasn't even close."
"I had a feeling! And I was right!" Bakugo shouted, and I could feel it.
Gods above give me patience, because if you give me strength, I will need a very good lawyer and a lot of bail money.
"You came in first?"
"What's your quirk?"
Here come the questions. I can't answer all of this.
"Eleanor, how far can you throw a baseball?"
Thank you, Aizawa, for taking away the attention.
"I'm not sure, actually. I never tested it."
"I expected this. America is large, and there are big differences between the states. No matter, come here and throw the baseball as far as you can, and you can use your quirk."
Alright, let's do this. I went up to the plate and grabbed the baseball.
And then it was simple, I summoned my carrier rigging and summoned a small, lightweight drone. One built for speed. And I added a little container for the baseball. I put the baseball into the container, set it on the ground, got out my tablet, and started controlling it manually.
What? Did you expect me to use a railgun? That's very stupid. Time for a math lesson by yours truly.
First of all, if we assume the baseball weighs 145 grams, a radius of around 0.037 meters, a cross sectional area of around 0.0043 meters squared, an air density of 1.2 kilograms per cubic meter, and a generous drag coefficient of around 0.5, and also assuming it didn't get disintegrated on launch, has no lift or spin effects, a constant air density, which is very, very generous, as well as no ablation, melting, or shockwave losses, those last three being even more unrealistic, Bakugo would still get a further distance than me if I used my railgun.
First, we use the standard projectile range formula, which is only in a vacuum with no air resistance or drag, at Mach 10 at a 40-degree launch angle. The distance is 1,180 kilometers, rounded. But vacuum numbers are misleading.
Here's the reality. We have to account for aerodynamic drag. At launch, the drag force will be around 15,000 newtons. The acceleration from drag alone will be around 105,000 meters per second squared. That's over 10,000 g of deceleration. Basically, the baseball loses most of its hypersonic speed in a fraction of a second, because it dumps all the kinetic energy almost immediately. Drag scales with velocity squared; the baseball has terrible ballistic efficiency, most energy becomes heat, and then there's hypersonic shockwaves, which would make the drag a lot worse than this entire calculation.
So, using a simple integration with drag and gravity, the distance will be around 500 meters. That's it.
So, a super-fast drone is a lot better. It quickly buzzed away at around 1,000 kilometers per hour. Or around 278 meters per second. I'll have it fly for 5 seconds.
As soon as that time was up, I heard the beep from Aizawa's device, before he showed it.
"1389 meters."
See? No need for a railgun.
"So, you can use some toys? That doesn't explain how you got so many points!"
Bakugo gets better, Bakugo gets better. He'll keep that aggressiveness, but in a good way. Not like he is now. Patience. I need zen-like patience. I'm in Japan, right? They're all about that stuff religiously. I think.
"How did you make that?" Momo asked me.
"Good question. It's simple, I just imagine what drone I want to make and it comes out."
"Does that mean you can summon any kind of drone? The implications are immense. You could make lethal ones, support ones, you could fill any role…"
"Midoriya, now is not the time." I had to stop him before he went all off on his mumbling.
"That was kind of—"
"Mina, hold that thought, let's just do all these tests." I also had to interrupt her. Look, I may seem mean, but I don't want Aizawa going on some rant about rationality and stuff. Believe me, I'm all about that stuff, but not outside. In the classroom? Sure, but not here.
"Oh, alright."
"Wow, Eleanor, you look so serious with that uniform on. Where'd you get it?"
"It's Italian, Tsu."
"You can all talk later. Now that you have an idea of what to expect, we'll continue."
(50-meter dash)
So, remember when I mentioned my time of 4.66 seconds on the 100-meter dash I did to test out my powers? And that I'd cover 50 meters in about 2.33 seconds? I left out some very important parts. Those that give a lot of implications for anyone who knows basic physics.
Time for another lesson in g-forces and acceleration. And this time, air resistance matters. So, let's get to everyone's favorite subject and thing they like to read about: Let's use Usain Bolt as a baseline. His record for the 100-meter sprint is 9.58 seconds at an average speed of 10.44 meters per second. The important part is average; his top speed would be around 12.4 meters per second. 100-meter sprints are not constant; There's the acceleration phase and the top-speed phase. The first 30 to 40 meters is acceleration, and the rest is the top speed. In my case, my acceleration would be about 1 to 1.2 seconds, and the top speed phase would be around 3.4 to 3.6 seconds. So with these numbers, my top speed would be around 25 to 27 meters per second, or 90-70 kilometers per hour. That's cheetah levels being sustained on two legs.
Now, the g-force and air resistance. Let's use the worst-case scenario in these calculations. To reach a speed of about 25 meters per second in about 1.2 seconds, my acceleration would be about 21 meters per second squared, or about 2.1g. Humans can't sustain that without severe injury. Now, on to the ground reaction forces and how they compare. Elite sprinters experience about 3 to 5 times their body weight with each footstrike. Me? I likely experience 8 to 10 times my bodyweight per foot strike with foot-ground contact times under 60 milliseconds. This will be important later. On to air resistance. At around 25 meters per second, I lose about 1,500 to 2,000 watts of power just to air.
Then there's having to stop. At the same speed, and assuming it takes me the same time as an elite sprinter to stop, which is around 2.5 seconds, give or take one second, my average deceleration would be around 10 meters per second squared over a stopping distance of around 31 meters. That's 1g of sustained horizontal deceleration on two feet.
But then, anyone who can run this fast must also be able to withstand the forces that would kill or cripple a normal human. Remember the ground reaction forces and how I most likely experience 8 to 10 times my body weight per step momentarily dozens of times in a few seconds? Well, that's just another way of saying I experience 8 to 10 g per step. And the part os my body that sustain that are my ankles, tibia, femur, knees, hips, and spine. In a normal human, that would cause stress fractures in the tibia and femur, ruptured Achilles tendons, shattered cartilage in the knees, spinal compression injuries, and organ shear.
Which means my body has to survive all of that. Bones comparable to steel or titanium, tendons that don't tear under multi-ton loads, cartilage that resists pulverisation, organs resistance to shear, blood vessels that don't rupture under rapid pressure changes, and of course, a brain that can handle repeated acceleration pulses. And then there's fatigue. No microfracture accumulation, no joint degradation, no ligament creep, and all that stuff.
But that's the theoretical estimate from all this math for a 100-meter sprint.
It needs to be compared to reality.
/\\//\\//\
"3.04 seconds." The machine said after Tenya crossed the finish line.
"Eleanor, you're next," Aizawa said. He saw her performance in the exam, but everything was done with her technology; there wasn't much she did physically besides sit in the little helicopter drone she made. It was big enough to fit her and give her a view, but nothing like a combat helicopter. And the baseball throw didn't tell him much about her physical strength. But here, it would."
Before Eleanor lined up at the start, she took off her cape and hat. "Tsu, can you please hold these for me?"
"Ribbit." Asui held them. They felt expensive.
Without the cape, the shiny decorations were finally shown. The silver epaulletes, silver metal thread embroidery on the collar and cuffs, and white bandoliers. Black primary color with red accents.
She lined up. Clearly, this outfit is not fit for this activity, but before caring about optimization, you have to look cool. Win in style, and if you're going to lose, lose in style.
She lined up as a sprinter would. She trained a bit more to get at least proper form.
*BANG*
With the gunshot noise, a violent outburst of energy poured out from Eleanor as she sprinted. In a 50-meter dash, acceleration and violence matter more. Each step was a punch into the dirt; the wind from her passing was like a motorcycle passing by near you. Hair whipped around, rapid impact from her feet. Vibrations were felt in people's feet.
But just as fast as it happened, it ended.
"2.18 seconds." The machine said after she crossed the line. It took her longer to come to a stop than it did for her to finish the sprint.
"Huh?" The most surprised was Tenya. No one knew she could do something this.
"Alright, not bad. Thanks for holding this, Tsu, you're a darling girl," Eleanor said as she picked up the cape and hat from Asui and put them back on.
"Is that your quirk?"
"No, Tsu, it's just an extra."
"You won't be expelled, then."
"Yeah, sure."
In Eleanor's mind, she knew it wasn't going to happen, but there's also the fact that Aizawa really is like that; these kids are just lucky. Or maybe some of that destined stuff.
/\\//\\//\
Well, I got some eyes on me, I've been clearing all these tests without using my quirk. I've only used my drone for the baseball throw, but other than that, everything was purely physical and powered by my enhanced attributes. The tests were almost done. And I have to say, conversing with Momo and Asui is really nice. Momo is smart enough to catch up with everything I talk about, and our quirks have a few similarities, and Asui is honest about stuff. She's straight to the point, which is so refreshing. See, I told you Asui is the best one here.
So, it's time for the baseball throw again, not me, since I already did it, but Midoriya.
Hold on.
I summoned by carrier rigging and summoned a drone. A healing drone. It had a red cross and all that. This is the 22nd century, and I forgot about the medical advancements. One of those is nanobots.
"What did you make this time?" Momo asked me.
"Just a healing drone. You'll see why."
Come on, Midoriya, break your finger already; Aizawa already gave you that talk and speech.
Ah, there we go.
I saw him throw, and I could see his finger turn red even from here. The wind it made was also a nice touch; it made my cape flow in the wind. Next, I need to find a high point and stand there. Be like Piccolo and all that.
"705.3 meters. At least you didn't destroy your body this time. Go meet with Recovery Girl."
"Hold on a second, Aizawa, he doesn't need to."
The drone flew to him.
"Hold out your finger, Midoriya. It won't hurt."
"Uh, okay."
He held out his damaged finger, and the drone shot out a green beam. Now that is some sci-fi-looking stuff, but that's the delivery method of the nanobots being injected into him. Don't know how that works, but it's the 22nd century and advanced tech, so whatever.
As the healing drone sent its beam, his finger started to heal and regain its color. It was a visible improvement, no more than a minute. Damn, nanobots are a game-changer. Once it was done, the drone came back to me, and I sent it back to my carrier rigging.
"Whoa. It feels like nothing happened to it. How did that happen?" Midoriya was looking at his finger in awe.
"No problem. The drone injected nanobots into you. These tiny robots are in your body, repairing injuries and fixing up damaged tissue, cells, and all that stuff. Don't worry, they'll be disposed of naturally."
"That's some advanced stuff! You could be a good support hero!"
"I'm an all-rounder."
"Eleanor, how far can those nanobots heal?" Aizawa asked me. Oh yeah, he'd be really interested in this. Not only him, but…no, no dramatic stuff, literally everyone would be.
"They can heal damaged organs, make artificial scaffolds for artificial organs, deliver stem cells to encourage natural regeneration, maybe regrow limbs, and they can increase life expectancy. Point is, nanobots can do so many things."
"Eleanor, you have some free time since you don't need to take the English class. When this class day is over, you'll have very important things to discuss with someone."
There we go. Perfect.
"Everyone else, we'll finish this out."
/\\//\\//\
So, the rest of the test went fine. Of course, I got first place. Aizawa revealed no one was getting expelled, Bakugo screamed at me more, so it seems Midoriya won't be receiving as much flak from Bakugo now, since "I am here," as All Might would say. Momo and Asui were nice company throughout the day, blah, blah, school stuff, now I'm here at the dorms relaxing.
A bit surprising my hack hasn't been detected yet, or maybe since I have't done anything with it, they haven't noticed. Oh well, whatever.
I was chilling, just eating some food, when someone came in. It was Nezu.
"Eleanor, you had quite the productive day, but Aizawa told me something interesting you did with one of your classmates."
"You mean the healing?"
"Yes."
"Do you want me to work part-time in the nurse's office with Recovery Girl?"
"Well, now that you mentioned it."
Ah, damn it.
"Alright, look, will I get more money?"
"Yes,"
"Deal."