A solid, uniform ball rolls without slipping up a hill, as shown in the figure . At the top of the hill, it is moving horizontally; then it goes over the vertical cliff.
a. How far from the foot of the cliff does the ball land?
b. How fast is it moving just before it lands?
c. Notice that when the ball lands, it has a larger translational speed than it had at the bottom of the hill. Does this mean that the ball somehow gained energy by going up the hill? Explain!