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A model rocket blasts off and moves upward with an acceleration of 12 m/s2 until it...

A model rocket blasts off and moves upward with an acceleration of 12 m/s2 until it reaches a height of 29 m, at which point its engine shuts off and it continues its flight in free fall. Use g = 9.81 m/s2.

a. What is the maximum height attained by the rockets?

b. What is the speed of the rocket just before it hits the ground?

c. What is the total duration of the rocket's flight?

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