Question

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?

Answer 1

The diver will take 2.449 seconds to enter the water.

Explanation:

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

`h=-16t^2+96`

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

`0=-16t^2+96\\\\16t^2=96\\\\t^2=6\\\\t=\sqrt6\\\\t=2.449\text{ seconds}`

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