Aspeeding motorist traveling with velocity vm is spotted by a police car. the police car is initially at rest, but the instant the motorist passes, accelerates with constant acceleration ap. assume the police car maintains this acceleration and the motorist maintains velocity vm. find: a. the velocity of the police car when it catches up to the motorist. b. the time it takes for the police car to catch the motorist. c. how far does the police car travel to catch the motorist?