# Eric has a treehouse 14ft above the ground. How long would it take a water balloon dropped from the treehouse to fall to the ground?

##### 1 Answer
Feb 27, 2016

$14 f t = 14 \times 0.3048 = 4.27 m$

The distance that body falls verticaly is $\frac{g {t}^{2}}{2}$

$\frac{9.81 {t}^{2}}{2} = 4.27$

${t}^{2} = 4.27 \times \frac{2}{9.81} = 0.871$

$t = \sqrt{0.871} = 0.933 s$