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3 years ago

Problem:

Mathematics

1 answer:

disa [49]3 years ago

8 0

The maximum height is 9.0 feet and the time to hit the ground is 4.5 seconds

<h3>How to determine the maximum height?</h3>

The function is given as:

f(x) = -0.6x^2 + 2.7x + 6

Differentiate

f'(x) = -1.2x + 2.7

Set to 0

-1.2x + 2.7 = 0

Subtract 2.7 from both sides

-1.2x = -2.7

Divide both sides by -1.2

x = 2.25

Substitute x = 2.25 in f(x) = -0.6x^2 + 2.7x + 6

f(2.25) = -0.6(2.25)^2 + 2.7(2.25) + 6

Evaluate

f(2.25) = 9.0

Hence, the maximum height is 9.0 feet

<h3>How to determine the time to hit the ground?</h3>

The time to hit the ground is twice the time to reach the maximum height.

In (a), we have:

x = 2.25

So, we have:

Time = 2 * 2.25

Evaluate

Time = 4.5

Hence, the time to hit the ground is 4.5 seconds

Read more about quadratic functions at:

brainly.com/question/1214333

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