Car A is traveling at 40 mi/h when it enters a 30 mi/h speed zone. The driver of car A decelerates at a rate of 16 ft/s² until reaching a speed of 30 mi/h, which she then maintains. When car B, which was initially 60 ft behind car A and traveling at a constant speed of 45 mi/h, enters the speed zone, its driver decelerates at a rate of 20 ft/s² until reaching a speed of 28 mi/h. Knowing that the driver of car B maintains a speed of 28 mi/h, determine 

(a) the closest that car B comes to car A, 

(b) the time at which car A is 70 ft in front of car B.

Transcribed Image Text:

(VB)0 = 45 mi/h B 60 ft (VA)0 = 40 mi/h