As soon as a traffic light turns green, an automobile speeds up from rest to 56.0 mi/h with fix acceleration 9.00 mi/h-s. In the adjoining bike lane, a cyclist speeds up from rest to 30.0 mi/h with fix acceleration 12.50 mi/h-s. Each vehicle maintains constant velocity after reaching it's cruising speed.
(a) Calculate for what time interval is the bicycle ahead of the car?
(b) Find by what maximum distance does the bicycle lead the car?