# If i run down some stairs and stop, what happens to your kinetic energy and your initial gravitational potential energy?

$K E = \frac{1}{2} m {v}^{2}$ while Gravitational Potential Energy depends on the mass and position of the object ${U}_{g}$ $= m g h$.
So in your example, by coming to a stop your kinetic energy becomes zero. Because your height decreased, your potential energy also decreases (whether it equals 0 or not depends on where you define 0 ${U}_{g}$ to be.)