A diver dives from a 9-foot-high platform with an initial speed of 16 feet per second. The height, h, of the diver can be modeled by the equation ℎ = - 162 - 16 + 9, where t represents time in seconds. How long will it be before the diver hits the water?

Question

Mathematics

Angelina

8 August, 18:36

A diver dives from a 9-foot-high platform with an initial speed of 16 feet per second. The height, h, of the diver can be modeled by the equation ℎ = - 162 - 16 + 9, where t represents time in seconds. How long will it be before the diver hits the water?

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Answers (1)

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Yair Young · Answer 1

Answer: The diver will hit the water after 0.4 seconds.

This is an example of a quadratic equation. It is in the shape of an upside down parabola.

Our goal is to solve the following equation: 0 = - 16x^2 - 16x + 9

To do this, we can use the quadratic formula. The variables are:

a = - 16

b = - 16

c = 9

It will be: 16 + / - The square root of (-16) ^2 - 4 (-16) 9 all divided by 2 (-16).

This will give a positive answer of 0.4 seconds.