# Calculus

If a rocket is shot vertically upward from the ground with an initial velocity of 192 ft/sec.
a. When does it reach its maximum height above the ground?
b. What is the maximum height reached by the rocket?
c. How long does it take to reach the ground again?
d. At what speed will the rocket hit the ground?

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1. the height h is given by
h = 192t - 16t^2
(a,b) find the vertex of the parabola
(c) solve for t when h=0
(d) final speed is the same as the starting speed, since momentum is conserved

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