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In two or more complete sentences, explain how to find the time it takes for a rocket following the path of the parametric equations
x=3t^2 and y=−4t+16 to hit the ground.

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Answer:

This problem is easier than it appears to be at first glance! If we assume the ground is located at y = 0, then we only use the following equation to solve:

y = -9t + 18

0 = -9t + 18

-18 = -9t

t = 2

Therefore, it takes 2 units of time (whatever units the problem specifically states) for the rocket to hit the ground.

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