At a local playground, a child on a swing has a speed of 2.2 m/s when the swing is at its lowest point.
a.) To what maximum vertical height (above the bottom of the swing) does the child rise, assuming he sits still and "coasts"?
b.) Reanswer part a, with the initial speed of the child being half as much.
c.) During this process, how much work is done by the tension in the rope? (What assumptions did you make in part a?)