8. At t = 0 a motorized wheel has an angular velocity of 24.0 rad/s. It increases its rotational speed at a rate of 30.0 rad/s2 until t = 2.00 s. Then, the power is turned off and it turns through 432 radians as it slows to a stop with constant angular acceleration. a) Through what total angle did the wheel turn between t = 0 and the time it stopped? b) What was the magnitude of its acceleration as it slowed down? c) At what time t did it stop?