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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.

Sagot :

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.