At an amusement park there are 200-kg bumper cars A, B, and Cthat have riders with masses of 40 kg, 60 kg, and 35 kgrespectively. Car A is moving to the right with a velocityvA = 2 m/s and car C has a velocity vB= 1.5m/s to the left, but car B is initially at rest. The coefficient ofrestitution between each car is 0.8 . Determine the final velocityof each car, after all impacts, assuming (a) cars A and C hit Car Bat the same time, (b) car A hits car B before car C does.