As soon as a traffic light turns green, a car speeds up from rest to 53.0 mi/h with constant acceleration 8.00 mi/h/s. In the adjoining bike lane, a cyclist speeds up from rest to 19.0 mi/h with constant acceleration 12.00 mi/h/s. Each vehicle maintains constant velocity after reaching its cruising speed. (a) For what time interval is the bicycle ahead of the car? s (b) By what maximum distance does the bicycle lead the car?