The gap between two consecutive automobiles distance between the back of a vehicle and the front of the following vehicle is 95 ft At a certain time the front vehicle is traveling at 50 mi h and the following vehicle at 45 mi h If both vehicles start accelerating at the same time determine the gap in ft between the two vehicles after 11 sec if the acceleration of the vehicles can be assumed to take the following forms 3 6 3 6 du 3 4 0 07u leading vehicle 3 3 0 065u following vehicle where u is the vehicle speed in ft sec ft dt du dt