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Answer :
Final answer:
The answer provides step-by-step instructions on how to find the time it takes for the rocket to hit the ground, reach its maximum height, the maximum height of the rocket, and when it reaches a height of 100 ft.
Explanation:
To find the answers to the given questions:
- A. To find the time it takes for the rocket to hit the ground, set the height function h(t) equal to 0 and solve for t. In this case, -16t^2 + 64t + 80 = 0.
- B. To find the time it takes for the rocket to reach its maximum height, we need to find the vertex of the function. The x-value of the vertex can be found using the formula t = -b / 2a, where a = -16 and b = 64.
- C. To find the maximum height of the rocket, substitute the x-value of the vertex into the height function.
- D. To find when the rocket reaches a height of 100 ft, set the height function equal to 100 and solve for t.
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