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