a) Show that $P\left(h0\right)=K\left(vf\right)$

b) Interpret result from part a)

Given:

A ball with mass m is dropped from an initial height of$h}_{0$ , and lands with a final velocity of vf. The kinetic energy of the ball is $K\left(v\right)=12mv2$ , where v is its velocity and the potential energy of the ball is $P\left(h\right)=mgh$ , where h is its height and g is a constant.

$vf=2gh0$

b) Interpret result from part a)

Given:

A ball with mass m is dropped from an initial height of