The propeller of an airplane has an initial angular speed of 3000 rad/s in the counterclockwise direction. It is shut off and slows at a rate of -80 rad/s^2.
a) How long does it take for the engine to stop rotating?
b) What is the engine's angular displacement while it stops? How far it goes around?
c) What is the initial linear speed of a point on the engine that is 1.3 m from the center of the propeller?