A car and a truck are heading directly toward one another on a straight and narrow street. The car is initially travelling south at 15 m/s, and the truck is initially travelling north at 10 m/s. The two vehicles simultaneously apply the brakes at time t = 0, when they are 50 m apart. The car comes to a stop in 3.5 s, and the truck takes only 2.5 s to come to a stop.
a) Find the acceleration of each vehicle. Let north be the positive direction for this problem.
b) Find the distance between the two vehicles when they come to a stop.