In the figure here, a red car and a green car move toward each other in adjacent lanes and parallel to an x axis. At time t = 0, the red car is at xr = 0 and the green car is at xg = 219 m. If the red car has a constant velocity of 22.0 km/h, the cars pass each other at x = 43.3 m. On the other hand, if the red car has a constant velocity of 44.0 km/h, they pass each other at x = 77.0 m. What are (a) the initial velocity and (b) the (constant) acceleration of the green car? Include the signs.

Visualize the problem and identify special cases first examine the problem by drawing a picture and visualizing the motion. apply newton's 2nd law, ∑f⃗ =ma⃗ , to each body in your mind. don't worry about which quantities are given. think about the forces on each body: how are these consistent with the direction of the acceleration for that body? can you think of any special cases that you can solve quickly now and use to test your understanding later? one special case in this problem is if m2=0, in which case block 1 would simply fall freely under the acceleration of gravity: a⃗ 1=−gj^.