A car is traveling along a road, and its engine is turning over with an angular velocity of +230 rad/s. The driver steps on the accelerator, and in a time of 12.0 second the angular velocity increases to +280 rad/s.
(a) Determine what would have been the angular displacement of the engine if its angular velocity had remained constant at the initial value of +230 rad/s during the entire 12.0 sec interval?
(b) Determine what would have been the angular displacement if the angular velocity had been equivalent to its final value of +280 rad/s during the entire 12.0 sec interval?
(c) Find the actual value of the angular displacement during the 12.0 sec interval.