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Answer :
Answer:
Maximum height oh the rocket was 100 feet.
Step-by-step explanation:
It has been given in the question that rocket follows the function f(t) = 80t-16t² where t is the time taken by rocket to reach maximum height and coming back to the ground.
Since initial velocity of the rocket is = 80 ft/sec
and total time taken by the rocket to come back to the ground is 5 sec
time taken by the rocket to reach the maximum height = 5/2 = 2.5 sec
Therefore from the given function
Maximum height achieved by the rocket = 80.(2.5) - 16.(2.5)²
= 200 - 100 = 100 ft.
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