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The initial velocity of a rocket shot straight up is 80 feet/second. The height of the rocket after t seconds is represented by the equation d=80t−5t^2. Find the maximum height of the rocket and the amount of time the rocket is in the air.

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abidemiokin

The maximum height of the rocket is 320feet

Maximum height of a rocket

The maximum height is the height a particular rocket can spend in air without going further up.

Given the height of the rocket expressed according to the equation

d=80t−5t^2.

At maximum height;

dd/dt = 0

80 - 10t = 0
10t = 80

t = 8s

The time the rocket spend in air is 8seconds

Determine the maximum height

H = 80(8) - 5(8)^2

H = 640 - 320
H = 320 ft

Hence the maximum height of the rocket is 320feet

Learn more on maximum height here; https://brainly.com/question/12446886

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