A \(30-\mathrm{kg}\) child jumps to the ground from the top of a fence that is \(2.0 \mathrm{~m}\) high. You analyze the problem using upward as the positive \(x\) direction.

(a) Taking \(x=0\) to be at the bottom of the fence, what are the initial potential energy of the child-Earth system and the change in the system kinetic energy during the jump?

(b) Repeat part \(a\) for \(x=0\) at the top of the fence.