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32 votes
32 votes
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?

User Jeevi
by
2.6k points

2 Answers

8 votes
8 votes

Answer:

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

User Kadijah
by
2.9k points
12 votes
12 votes

Explanation:

h = (4 ÷ ¼)²

h = (4 × 4)²

h = 16² = 256ft

User Hyunbong Lee
by
3.5k points