cherrynika asked: Hey, you posted about looking at the math of objects with odd traits. Could you elaborate on what you mean? I don't know much about this but I'm interested.
Hey there! First of all, sorry for taking so long to get to this. My inbox got flooded over time and I’m working my way through it all.
For reference, this is the post cherrynika is referring to. In it, I mentioned that I was working out the maths of objects with abnormal traits, such as an object whose acceleration is always equal to its velocity. What I meant by this was this:
An object whose acceleration, a, is always equal to its velocity, v, will exponentially increase in speed very rapidly towards infinity.
We can explain this mathematically after understanding that acceleration is the derivative of velocity with respect to time:
Since we have stated that a = v, we can write:
Because velocity is equal to its own derivative, we know that velocity must either equal 0 or , because we know that .
Unfortunately, I could not come up with a solution for the other problem I mentioned in my original post. If anyone does, please send it my way!
I hope this explanation helped!