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A cliff diver jumps from a cliff that is 96 feet above the water. His jump can be modeled by a quadratic equation, h= -16t(exponent 2) + 96, where t is time in seconds and h is height in feet. How long will it take for the diver to enter the water?

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SociometricStar

Answer:

The diver will take 2.449 seconds to enter the water.

Step-by-step explanation:

We have been given that quadratic equation for the diver jumps is

[tex]h=-16t^2+96[/tex]

We have to find the time taken for the diver to enter the water. When the diver enters the water, the height becomes zero.

[tex]0=-16t^2+96\\\\16t^2=96\\\\t^2=6\\\\t=\sqrt6\\\\t=2.449\text{ seconds}[/tex]

Therefore, the diver will take 2.449 seconds to enter the water.

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