As soon as a traffic light turns green, a car speeds up from restto 49.0 mi/h with constantacceleration 7.00 mi/h-s. In theadjoining bike lane, a cyclist speeds up from rest to 23.0 mi/h with constant acceleration 13.00 mi/h-s. Each vehicle maintains constantvelocity after reaching its cruising speed.
(a) For what time interval is the bicycle ahead of the car?
(b) By what maximum distance does the bicycle lead the car?