A car is traveling along a road, and its engine is turning over with an angular velocity of +220 rad/s. The driver steps on the accelerator, and in a time of 10.0 s the angular velocity increases to +280 rad/s.
(a) What would have been the angular displacement of the engine if its angular velocity had remained constant at the initial value of +220 rad/s during the entire 10.0-s interval?
(b) What would have been the angular displacement if the angular velocity had been equal to its final value of +280 rad/s during the entire 10.0-s interval?
(c) Determine the actual value of the angular displacement during the 10.0-s interval.