A girl operates a radio-controlled model car in a vacant parking lot. The girls position is at

Question:

A girl operates a radio-controlled model car in a vacant parking lot. The girl’s position is at the origin of the xy coordinate axes, and the surface of the parking lot lies in the x-y plane. She drives the car in a straight line so that the x coordinate is defined by the relation x(t) = 0.5t³ - 3t² + 3t + 2, where x and t are expressed in meters and seconds, respectively. Determine

(a) When the velocity is zero,

(b) The position and total distance travelled when the acceleration is zero.