I've sampled a rotating system to come up with a list of positions and velocities at certain times. I want to be able to predict how long it will take to reach a certain speed and how far it will have rotated in that time. I can't use the standard equations of angular motion because the acceleration isn't constant. The acceleration seems to have a quadratic relationship with velocity.
What sort of approach should I use to go about solving this? Thank you
You can use this to write $\frac {dv}{dt}=-0.0162v^2 + 0.3494v - 2.1517$ and get $t+C=\int \frac {dv}{-0.0162v^2 + 0.3494v - 2.1517}$