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:
[tex]t = \frac{\sqrt{h}}{4}[/tex]
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 [tex]h = 4000[/tex].
So
[tex]t = \frac{\sqrt{4000}}{4}[/tex]
[tex]t^2 = \frac{4000}{16}[/tex]
[tex]t^2 = 250[/tex]
[tex]t = \sqrt{250}[/tex]
[tex]t = 15.8[/tex]
The hammer reaches the river after 15.8 seconds.