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 47.0 mi/h with constant acceleration 8.00 mi/h/s and thereafter moves with a constant speed of 47.0 mi/h. at the same time, the cyclist speeds up from rest to 23.0 mi/h with constant acceleration 12.00 mi/h/s and thereafter moves with a constant speed of 23.0 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?