Question

The time it takes for an object dropped from a height to reach the ground is given by the function time (in seconds) =(1/4)√h where h is the initial height in feet. If an object dropped from a building takes 4 seconds to reach the ground what is height of the object was dropped from, to the nearest foot?

Answer 1

256 ft

Explanation:

Assuming f(t)=(1/4)√h, we can solve for h by setting 4=(1/4)√h.

4=(1/4)√h

16=√h

h= 16^2 =256 ft

Answer 2

Explanation:

h = (4 ÷ ¼)²

h = (4 × 4)²

h = 16² = 256ft