Inverse and Direct Variation Word Problems - Examples

The potential energy, $U$, of a ball in free fall is equal to $\frac{1}{2}mgh$ where $m$ is the mass of the ball in kilograms, $g=9.8\,\frac{m}{s^2}$ and $h$ is the height of the ball from the ground in meters. If a ball has a $U$ of 98 Joules when dropped from 10 meters, at what height will the ball have a $U=245$ Joules?