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A model rocket blasts off and moves upward with an acceleration of 13 m/s^2 until it reaches a height of 27 m, at which point its engine shuts off and it continues its flight in free fall.
1. What is the maximum height attained by the rocket?
2. What is the speed of the rocket just before it hits the ground?
3. What is the total duration of the rocket's flight?
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