Question

A construction worker dropped a hammer while building the Grand Canyon skywalk, 8100 feetabove the Colorado River. Use the formula t=(square root of h)/4 to find how many seconds it took for thehammer to reach the river.

Answer 1

Given:

`t=\frac{\sqrt[]{h}}{4}`

To find the time when the height h=8100 feet:

Substitute h=8100 in the given function.

`\begin{gathered} t=\frac{\sqrt[]{8100}}{4} \\ t=(90)/(4) \\ t=22.5\text{ seconds} \end{gathered}`

Thus, the time required for the hammer to reach the river is 22.5 seconds.