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A rocket is launched at the top of a building. The height of the rocket (in meters) written
in terms of time (seconds) can be modeled by h (t) = -4.9t2 +9.8t + 73.5. What is
the maximum height?

Respuesta :

abidemiokin

The maximum height of the rocket is 78.4m

Maximum height of a function

Given the function that represents the height of a function expressed as:

h(t) = -4.9t² +9.8t + 73.5.

The rocket will reach its maximum height at the point where h'(t) = 0

h'(t) = -9.8t +9.8

Equate to zero

0 = -9.8t + 9.8

9.8t = 9.8

t = 1

Substitute

h(1) = -4.9(1)²+9.8(1) + 73.5

h(1) = 4.9 + 73.5

h(1) = 78.4m

Hence the maximum height of the rocket is 78.4m

Learn more on maximum height here: https://brainly.com/question/23144757

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