Challenge Problems (Problem 113)

The position of a particle moving along the x-axis varies with time according to $x(t)=5.0t^2-4.0t^3$ m. Find (a) the velocity and acceleration of the particle as functions of time, (b) the velocity and acceleration at t = 2.0 s, (c) the time at which the position is a maximum, (d) the time at which the velocity is zero, and (e) the maximum position. Select the answer to part (b).