Chapter 11.3, Problem 11.74P

Car A is traveling on a highway at a constant speed ${\left(v_A\right)}_0=60$ mi/h and is 380 ft from the entrance of an access ramp when car B enters the acceleration lane at that point at a speed ${\left(v_B\right)}_0=15$ mi/h. Car B accelerates uniformly and enters the main traffic lane after traveling 200 ft in 5 s. It then continues to accelerate at the same rate until it reaches a speed of 60 mi/h, which it then maintains. Determine the final distance between the two cars.