question archive A small rocket is shot upward from the surface of the earth with an initial velocity of 120 meters per second

A small rocket is shot upward from the surface of the earth with an initial velocity of 120 meters per second

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A small rocket is shot upward from the surface of the earth with an initial velocity of 120 meters per second. The position function of the rocket at t > 0 is modeled by the function s(t) = —4.9t2 +120t.

A. When is the velocity zero?

B. When does the rocket hit the ground?

C. What is the velocity of the rocket at impact?

D. At t = 15 seconds, is the rocket speeding up or slowing down? Justify.

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