A pyrotechnic rocket is fired from a platform
a. Write parametric equations that model the path of the shell as a function of the time
b. Approximate the time required for the shell to hit the ground. Round to the nearest hundredth of a second.
c. Approximate the horizontal distance that the shell travels before it hits the ground. Round to the nearest foot.
d. When is the shell at its maximum height? Find the exact value and an approximation to the nearest hundredth of a second.
e. Determine the maximum height.

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