As soon as a traffic light turns green, a van 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 stable velocity after reaching its cruising speed.
(a) Determine for what time interval is the bicycle ahead of the van? (in seconds)
(b) Find by what maximum distance does the bicycle lead the van? (in ft)