Answer
$1.77$ seconds
Work Step by Step
Given \begin{equation}
t=\sqrt{\frac{2 h}{32}}.
\end{equation} We are given that $h = 50$ feet and want to find the time that an object falls below $100$ feet. Find $t(50)$. \begin{equation}
\begin{aligned}
t(50) & = \sqrt{\frac{2\cdot 50}{32}} \\
&\approx 1.77.
\end{aligned}
\end{equation} It will take about $1.77$ seconds for an object to fall $50$ feet below.
