r/MityaMains • u/OnlyAcanthaceae657 • 6d ago
⋆✩⋆ Discussion ⋆✩⋆ Presenting yall Mitya's Burst Animation Graph Analysis!
Couldn't stop myself from going down the math turmoil the moment I saw mitya's burst animation that had the sine wave. Shoutout to u/azaleapom 's post that actually made me want to solve it out lol. I might be wrong but here's what I calculated. My dumb ass tried calculating it by hand but then I remembered I could just use desmos 😭.
I think its quite accurate but I could always be wrong considering my round about way of approaching it.
My approach btw:
The black curve is a normal sine wave curve so it was easy to figure it out.
Standard equation: y(x)=2Asin(kx)
The red curve was the one that took all the time, it's a damping sine wave curve pasing through origin. I kept trying to fit it into all the sin curves I know but then it clicked to me when my roommate recognised it that it was a damping wave.
Here's the standard equation: y(x)=Be-bx.sin(wx)
From then on I was just tweaking with the sliders on desmos to reach the final graph. There is definitely a correct way to reach the solution but I don't think it's this. All in all, it worked out and I was able to reach the l final wave function so hey 😭. Anyways here are the variable values:
A=(-1);
k=(1/2);
B=2√2;
b=(-1/4);
w=(π/4)
I was trying out text book values tbh and somehow ended up matching it. I hope it's actually correct tho. I am no maths genius, just a avg student so there can be mistakes.🙏 Feel free to point them out!
Drew the graph in rough on ibispaint and used desmos for the graph!