2. A car is stuck in the mud. One of the wheels is spinning in place (that is, its center isn't moving). The radius is R, and all points on the rim are moving with speed v. You observe that bits of mud depart from the wheel at various random points. In particular, some bits become unstuck from the rim in the upper half, as shown. What should 0 be so that the mud reaches the maximum possible height (above the ground) as it flies through the air? What is this maximum height? (You may assume that v2 > gR.) R