A police car parked by the side of a straight road is passed by a speeding car going at a constant speed of 30 m/s. Starting 2 seconds after the speeder passes, the police car accelerates at 6.0m/s^2 for 6 seconds, and then maintains constant speed until it catches the speeding car.
(a) How many seconds after the speeder passes does the police car catch the speeder.
(b) How far away from the police car's starting point does this happen?