4823

Physics Kinematics Level: Misc Level

You and two of your friends decide to have a race. You each start from the center of a circle and travel out along different radii at the same time. One of you moves with a constant speed of v1, the second starts from rest and moves with a constant acceleration a, and the third, moving with an initial speed v2, decelerates with constant acceleration -a. Show that if all of you reach the outside of the circle (meaning the same distance away from the center) at the same time then v2 =2v1. Find the acceleration symbolically.