Halliday, Resnick & Walker — Motion Along a Straight Line: Problem 34

In Fig. 2.12, a red car and a green car, identical except for the color, move toward each other in adjacent lanes and parallel to an x axis. At time \(t = 0\), the red car is at \(x_r = 0\) and the green car is at \(x_g = 220 \text{ m}\). If the red car has a constant velocity of \(20 \text{ km/h}\), the cars pass each other at \(x = 44.5 \text{ m}\), and if it has a constant velocity of \(40 \text{ km/h}\), they pass each other at \(x = 76.6 \text{ m}\). What are (a) the initial velocity and (b) the constant acceleration of the green car?