a car is travelling on the highway at a constant speed of 90 km/h. The absent-minded driver misses the posted speed limit sign for a small town she is passing through. A police car that is stopped next to the sign accelerates immediately from rest at 3.5 m/s^2. From the time that the speeder passes the police car,
(a) how long will it take the police car to catch up the speeder?
(b) what distance will the cars travel in that time?
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