Dropping the object from a height is an illustration of an object in free fall. The object should be dropped at 2304 feet above the sea level.
Given that:
[tex]t = \frac 14 \sqrt h[/tex]
The height is calculated as follows:
[tex]t = \frac 14 \sqrt h[/tex]
Multiply both sides by 4
[tex]4t = \sqrt h[/tex]
Square both sides
[tex]16t^2 = h[/tex]
Rewrite as:
[tex]h = 16t^2[/tex]
The object reaches the ground in 12 seconds.
So: [tex]t = 12[/tex]
This gives:
[tex]h = 16 \times 12^2[/tex]
[tex]h = 2304[/tex]
Hence, the object should be dropped at 2304 feet above the sea level.
Read more about free falls at:
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