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5-9.

Rocket launchingThe Math Booster Club shot a rocket from the ground straight up into the air to celebrate Pi Day. The launcher shot the rocket with a starting velocity of ft/sec. Write a function, , for the height of the rocket at time, . Then determine the rocket’s maximum height and the amount of time it was in the air. Homework Help ✎

Start with the basic equation: where is the initial velocity and is the initial height of the rocket from the ground.

The initial height of the rocket is because it is shot from the ground.

The initial velocity is ft/sec. Thus:

To find the maximum height, take the derivative of the function and set it equal to zero because the maximum height occurs when the velocity is zero.