Acar traveling at 15 m/s passes a police car. at that instant, the police car accelerates at a constant rate of 3 m/s^6 in pursuit. we wish to find how much time elapses before the officer catches the car. a. choose a coordinate system for this problem and identify the initial states starting when the car passes the police. b. define the final state or conditions which enables you to answer the above question. c. to solve this problem identify the two equations (one for each vehicle) which satisfy part b. solve for the unknown time.