Question: Suppose that the position of a particle as a function of time is given by the formula s(t) = 4t3 - t4
(a) Find the velocity and acceleration as functions of time.
(b) Find the times at which the velocity is zero and the times at which the acceleration is zero.
(c) Find the position at the time when the velocity is maximum.
(d) Find the position when the acceleration is maximum.