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An object falls from a height of 400 feet. Its height, h, in feet is given by the equation where t is the time in seconds the object has fallen. How many seconds will it take for the object to reach the ground?

An object falls from a height of 400 feet Its height h in feet is given by the equation where t is the time in seconds the object has fallen How many seconds wi class=

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aachen

Answer:

Option B is correct, i.e. t = 5 seconds.

Step-by-step explanation:

Given the equation of height of object is h = -16t² + 400.

When it touches the ground, the height of object would be ZERO.

So the equation becomes:-

0 = -16t² + 400.

16t² = 400

t² = 400/16

t² = 25

t = √25

t = ±5

Since, t is the time and time can not be negative value.

Hence, option B is correct, i.e. t = 5 seconds.

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