You are sitting in your car at rest at a traffic light with a bicyclist at rest next to you in the adjoining bicycle lane. as soon as the traffic light turns green, your car speeds up from rest to 49.0 mi/h with constant acceleration 8.00 mi/h/s and thereafter moves with a constant speed of 49.0 mi/h. at the same time, the cyclist speeds up from rest to 21.0 mi/h with constant acceleration 12.00 mi/h/s and thereafter moves with a constant speed of 21.0 mi/h (a) for what time interval (in s) after the light turned green is the bicycle ahead of your car?
(b) what is the maximum distance (in ft) by which the bicycle leads your car during this time interval?