Question

Use the formula h=16t², where t is time in seconds and h is the distance in feet traveled by a free-falling body or object to solve the following problem. A diver dives from a cliff that has a height of 111 feet. Determine the time of the dive. The dive lasted approximately __ seconds

Answer 1

We have to calculate the time it takes for the diver to dive.

It is equal to the time to cover 111 feet, so we can write:

$\begin{gathered} h=111 \\ 16t^2=111 \\ t^2=\frac{111}{16} \\ t^2=6.9375 \\ t=\sqrt{6.9375} \\ t\approx2.634 \end{gathered}$

Answer: The dive lasted approximately 2.634 seconds.