Question

A construction worker dropped a hammer while working on a skyscraper, 1276 feet above the ground. Use the formula t=√h/4 to find how many seconds it took for the hammer to reach the ground. Round to the nearest tenth of a second.

Answer 1

We need to find how many seconds it took for the hammer to reach the ground.

Use the given formula:

$t=\frac{\sqrt{h}}{4}$

Now, h represents the height. In this case, the skyscraper has a height of 1276 feet.

Hence, we need to replace h=1276 ft.

Then:

$\begin{gathered} t=\frac{\sqrt{1276ft}}{4} \\ t=17.9 \end{gathered}$

Therefore, it would take 17.9 seconds to reach the ground.

( the value is rounded to the nearest tenth of a second)