Question

A construction worker drops a hammer while building the Grand Canyon skywalk 4,000ft above the Colorado River. Use the formula t=h‾√4 to find how many seconds it takes for the hammer to reach the river. Round your answer to the nearest tenth of a second.

Answer 1

Answer:

The hammer reaches the river after 15.8 seconds.

Step-by-step explanation:

The formula to find for how long it takes for the hammer to reach the ground is given by:

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

In which h is the initial height.

A construction worker drops a hammer while building the Grand Canyon skywalk 4,000ft above the Colorado River.

This means that $h = 4000$.

So

$t = \frac{\sqrt{4000}}{4}$

$t^2 = \frac{4000}{16}$

$t^2 = 250$

$t = \sqrt{250}$

$t = 15.8$

The hammer reaches the river after 15.8 seconds.