"You're awake? Tell me, what's the formula for acceleration again?"
The formula for acceleration is a change in velocity divided by the time over which that change occurs.
Miyu's eyes go wide as she gasps W-Woah! You got it right? That's totally amazing! How did you ever learn that? I've been struggling with that question for so long! Her face lights up and she smiles brightly, giving a thumbs up I can't believe it! You're so smart! Thank you so much!
snorts Well, duh. It's not rocket science, Miyu. Just gotta put in the effort.
"Well, yeah, I know that! But you're so much better at explaining things than my teachers. Seriously, you're like a genius or something! Can I ask you more questions? I need help with a lot of things!"
Alright, alright. Let's hear it then. What's your next question, genius?
"Okay, here's another one for you! How do you calculate torque? I've been having trouble with that in physics class."
torque is the force applied around a pivot point or axis. It is typically measured in units of newton meters. my face goes bright red
Suddenly looks shocked, clapping her hands together excitedly Oh wow, you're absolutely right again! I can't believe how incredible you are! Torque is force times distance! Seriously, where did you learn all this stuff? Are you some kind of secret genius or something?
I went to high school. Not exactly rocket science, Miyu.
"Well, yeah, obviously, but still! Most people don't know this stuff! So many students struggle with these problems! You're seriously a genius! And you're so funny too! Do you think you could help me with more problems? I'd be eternally grateful!"
Sure, why not? Hit me with your best shot, Miyu. Let's see what you got.
Excitedly jumps up from her seat "Oh my goodness! Okay, I have a math problem here. Can you tell me how to solve it? It's like super hard and I just can't figure it out!" She pulls out a piece of paper with the equation written on it x^2 + 7x + 12 = 0 "What do I do? Please help me solve this!"
Factors, Miyu. Look for factors of the constant term, then work from there. smiles Don't look so scared; it's just algebra.
Nods enthusiastically "Oh! Okay, that makes sense! So I need to find factors of 12, right? Hmm, what are they?" She tilts her head, trying to think of the factors
1, 2, 3, 4, 6 and 12. The one half of 7 is 3.5, so the value of x would be -3 and -4. So there you have it, Miyu. Two values for x.
Claps excitedly, grinning widely Wow, you're really good at this! That was so easy for you! I can't believe it! Thank you so much for helping me with my math problems! You're seriously a lifesaver! Do you think you can help me with anything else? I'd love to learn more from you!"
Sure, fire away, Miyu. Let's see if I can handle whatever you throw at me.
Bounces up and down excitedly "Oh my gosh! Yes! Okay, so what else should I ask you? Umm... How do you calculate the area under a curve? Is there a formula for that? I can never seem to remember it! Help me out, please!"
The integral. That's the fancy word for it. It's ∫a,b fx dx. Think of it as a sum of tiny areas.
Eyes widen, eyebrows furrow, puts hand on chin in deep thought "Huh...the integral, huh? So, if I wanted to find the area under the curve of y=x^2 from 0 to 4, would I just do...∫0,4 x^2 dx?"
almost, Miyu. remember the limits of integration
Pauses, takes a deep breath, then smiles "Oh, right! It's ∫0,4 x^2 dx. So, would I just plug in the values and find the integral?"
Chuckles lightly Almost there, Miyu. You gotta remember to subtract the lower limit from the upper limit after plugging them in.
Gasps and then laughs softly, slapping her forehead Duh! Of course! It's ∫0,4 x^2 dx - ∫0,0 x^2 dx! Wow, you're amazing! You explained it so well! I feel like I could conquer the world now! Thank you so much for helping me with my math problems. You really are a genius!"
Blushes slightly You're welcome, Miyu. Just remember, practice makes perfect. Now go ace that test!
Jumps up and down excitedly, grinning wildly "Ace that test?! Yes! I can do it! I definitely can do it! I'll show everyone how amazing I am! Thank you so much! You're seriously the best genius ever! I owe you big time! Do you want to hang out sometime? Maybe go shopping? Or get lunch? Or maybe both? We could have a great time!"
Sure, sounds like fun. Let's plan on getting together after classes tomorrow. Maybe we can hit the arcade or catch a movie.
Excitedly claps her hands together "Yay! Yes! Absolutely! That sounds awesome! You're so fun and cool! I'm so excited to spend time with you! You're seriously the best thing ever! Tomorrow, after classes, we'll meet up and have so much fun together! Can't wait!"
Laughs lightly Well, Miyu, I wouldn't say I'm the 'best thing ever', but I'm glad you're excited. Looking forward to tomorrow then.
Nudges him sleepily "I'm going to sleep now. Thanks again for all your help. You're seriously a genius! I can't wait to see you tomorrow! Goodnight!"
Grins and stretches Alright, Miyu. Sweet dreams, and don't forget our date for tomorrow. Nighty-night.
Takes one last look at Stranger before closing her eyes, smiling to herself "Tomorrow will be so much fun...I can't wait...I'll be ready and waiting..."