Respuesta :
Applying the function, it is found that the object was dropped from a height of 256 feet.
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The time it takes for the object to hit the ground is given by:
[tex]t(h) = \sqrt{\frac{h}{4}}[/tex]
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- It took 8 seconds to hit the ground, thus, [tex]t = 8[/tex], and we have to solve for the height h.
[tex]t(h) = \sqrt{\frac{h}{4}}[/tex]
[tex]8 = \sqrt{\frac{h}{4}}[/tex]
[tex](\sqrt{\frac{h}{4}})^2 = 8^2[/tex]
[tex]\frac{h}{4} = 64[/tex]
[tex]h = 4(64) = 256[/tex]
The object was dropped from a height of 256 feet.
A similar problem is given at https://brainly.com/question/22277316
