As soon as a traffic light turns green, a car speeds up from rest to 50.0 miles per hour with a constant acceleration of 9.50 mi/h•s. In the adjoining bike lane, a cyclist speeds up from rest to 20.0 mi/h with a constant acceleration of 12.5 mi/h•s. Each vehicle maintains a constant velocity after reaching its cruising speed.
(a) Compute for how long is the bicycle ahead of the car?
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(b) Find by what maximum distance does the bicycle lead the car?
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