Answer:
The hammer reaches the river after 15.8 seconds.
Explanation:
The formula to find for how long it takes for the hammer to reach the ground is given by:
![t = (√(h))/(4)](https://img.qammunity.org/2022/formulas/mathematics/college/t1vtfd1qj9iw9en1k1jveyzij8pw30g2h9.png)
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
.
So
![t = (√(4000))/(4)](https://img.qammunity.org/2022/formulas/mathematics/college/yg012u3b1uxddr56q7ht9tiivvomfx0spn.png)
![t^2 = (4000)/(16)](https://img.qammunity.org/2022/formulas/mathematics/college/oz1kl63iny9z8dvc9g74qs7jcpw26oyez2.png)
![t^2 = 250](https://img.qammunity.org/2022/formulas/mathematics/college/2tbs84uvalmhuwe7wrku1rpydxjc22ei9n.png)
![t = √(250)](https://img.qammunity.org/2022/formulas/mathematics/college/jpvtuio356698qh84wrfmxs7qy7fh489nd.png)
![t = 15.8](https://img.qammunity.org/2022/formulas/mathematics/college/xto2okyk6748oxd89fvw92g0fv4q0yxcm6.png)
The hammer reaches the river after 15.8 seconds.