TPR AP Work, Energy, and Power Example 11 11792

If the stuntwoman in Example 10 were to jump off the cliff,

what would be her final speed as she landed on a large, air-filled cushion lying on the ground?

$v=28\ \mathrm{\displaystyle \frac{m}{s}}$

The gravitational potential energy would be transformed into kinetic energy. So

$$U\to K$$

$$U\to \frac{1}{2}mv^2$$

$$v=\sqrt{\frac{2\cdot U}{m}}$$

$$v=\sqrt{\frac{2(24,000\ \mathrm{J})}{60\ \mathrm{kg}}}$$

$$v=28\ \mathrm{\frac{m}{s}}$$