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antiseptic1488 [7]
2 years ago
14

The time in seconds, t, it takes for a specific object being dropped from a particular height in feet above sea level, h, to rea

ch the ground can be found by the radical function t equals one fourth times radical h period At what height should you drop an object in order for it to reach the ground in 8 seconds?
1,024 feet
256 feet
64 feet
4 feet
Mathematics
1 answer:
nadezda [96]2 years ago
7 0

Applying the function, it is found that the object was dropped from a height of 256 feet.

--------------------

The time it takes for the object to hit the ground is given by:

t(h) = \sqrt{\frac{h}{4}}

--------------------

  • It took 8 seconds to hit the ground, thus, t = 8, and we have to <u>solve for the height h.</u>

t(h) = \sqrt{\frac{h}{4}}

8 = \sqrt{\frac{h}{4}}

(\sqrt{\frac{h}{4}})^2 = 8^2

\frac{h}{4} = 64

h = 4(64) = 256

The object was dropped from a height of 256 feet.

A similar problem is given at brainly.com/question/22277316

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