Two cars move in opposite directions toward each other on a level, straight, one-lane road. when both drivers begin to brake, their front bumpers are 275 meters apart. the smaller car is initially moving at 25.0 m/s and the larger is initially moving at 30.0 m/s. the magnitude of the acceleration of the larger car is 20.0% greater than the magnitude of the acceleration of the smaller. determine the magnitude of acceleration for each car such that when their front bumpers touch, they have just come to rest.

While strolling downtown on a saturday afternoon, you stumble across an old car show. as you are walking along an alley toward a main street, you glimpse a particularly stylish alpha romeo pass by. tall buildings on either side of the alley obscure your view, so you see the car only as it passes between the buildings. thinking back to your physics class, you realize that you can calculate the car's acceleration. you estimate the width of the alleyway between the two buildings to be 6 m. the car was in view for 0.6 s. you also heard the engine rev when the car started from a red light, so you know the alpha romeo started from rest 4 s before you first saw it. find the magnitude of its acceleration.