For example, if a car were to travel 100 meters in 10 seconds from a standstill, given linear motion, at some point during the 10 seconds, it would have to reach 10 meters/second.
However, in order to achieve 10m/s within that time period, at some point, it would be accelerating at 1m/s^2. And to reach that, you would need to reach 0.1m/s^3, and 0.01m/s^4.
But what is the final rate of change of an object?
For anything to reach a state of change, it has to have a thing that's before it so that it can be reached, but how far does it go? If two objects hit each other, how does transferring of energy work? At what point is there a jump in an object's motion at any layer?
If you reach the infinitieth rate, then derive it; doesn't that mean everything is moving at an infinite speed?
Thank you!
