# You drop a rock down a well that is 5.4 m deep. How long does it take the rock to hit the bottom of the well?

May 5, 2017

$t = 1.05 s$

#### Explanation:

This is a free fall problem where the object is falling under the influence of gravity. To find the time the object stays in flight, we only need the height from which it falls and the acceleration of gravity.

$\textcolor{w h i t e}{a a a a a a a a a a a} \textcolor{m a \ge n t a}{t = \sqrt{\frac{2 h}{g}}}$

Plugin
$t = \sqrt{\frac{2 h}{g}} \to t = \sqrt{\frac{2 \cdot 5.4}{9.8}} = t = 1.05 s$