Question

The rate of change of speed of the belt is given by 0.06(10-t) m/s2, where t is in seconds. The speed of the belt is 0.8m/s at t=0. When the normal acceleration of a point in contact with the pulley is 40m/s2, determine (a) the speed of the belt; (b) the time required to reach that speed; and (c) the distance traveled by the belt. Radius is 0.2m