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.
1 answer:
The maximum height of the rocket is 320feet
<h3>Maximum height of a rocket</h3>
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
<u>Determine the maximum height</u>
H = 80(8) - 5(8)^2
H = 640 - 320
H = 320 ft
Hence the maximum height of the rocket is 320feet
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