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As soon as a traffic light turns green, a car speeds up from rest to 52.0...

As soon as a traffic light turns green, a car speeds up from rest to 52.0 mi/h with constant acceleration 8.00 mi/h/s. In the adjoining bike lane, a cyclist speeds up from rest to 21.0 mi/h with constant acceleration 14.00 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?

(b) By what maximum distance does the bicycle lead the car?

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