As soon as a traffic light turns green, a car speeds up from rest to 46.0 mi/h with constant acceleration 8.50 mi/h-s. In the adjoining bike lane, a cyclist speeds up from rest to 24.0 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?