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A motorist traveling with a constant speed of 20.0 m/s passes a school-crossing corner, where the speed limit is 15.0 m/s. Just as the motorist passes, a police officer on a motorcycle at the corner starts off in pursuit with constant acceleration of 5.0 m/s ^2. (a). How much time elapses before the police catches up the motorist? (b). What is the officer's speed limit at that point? (c). What is the total distance each vehicle has traveled at that point?​