Launching a rocket A small rocket is launched vertically

Chapter 6, Problem 63E

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QUESTION:

Launching a rocket A small rocket is launched vertically upward from the edge of a cliff 80 ft off the ground at a speed of 96 ft/s. Its height above the ground is given by the function \(h(t)=-16 t^{2}+96 t+80\), where t represents time measured in seconds.

a. Assuming the rocket is launched at t = 0, what is an appropriate domain for h?

b. Graph h and determine the time at which the rocket reaches its highest point. What is the height at that time?

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QUESTION:

Launching a rocket A small rocket is launched vertically upward from the edge of a cliff 80 ft off the ground at a speed of 96 ft/s. Its height above the ground is given by the function \(h(t)=-16 t^{2}+96 t+80\), where t represents time measured in seconds.

a. Assuming the rocket is launched at t = 0, what is an appropriate domain for h?

b. Graph h and determine the time at which the rocket reaches its highest point. What is the height at that time?

ANSWER:

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