A car is traveling along a road, and its engine is turning over with an angular velocity of +190 rad/s. The driver steps on the accelerator, and in a time of 13.0 s the angular velocity increases to +270 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 +190 rad/s during the entire 13.0-s interval?
(b) What would have been the angular displacement if the angular velocity had been equal to its final value of +270 rad/s during the entire 13.0-s interval?
(c) Determine the actual value of the angular displacement during the 13.0-s interval.