The position of the front bumper of a test car under microprocessor control is given by x (t) = 2.17m + (4.80m/S2) t2 - (0.100 m/S6) t6•
(a) Find its position and acceleration at the instants when the car has zero velocity.
(b) Draw x-t, v.-t, and a.-t graphs for the motion of the bumper between t = 0 and t = 2.00 s.