A group of students launches a model rocket in the vertical direction. Based on tracking data, they determine that the altitude of the rocket was 27.5 m at the end of the powered portion of the flight and that the rocket landed 16 s later. Knowing that the descent parachute failed to deploy so that the rocket fell freely to the ground after reaching its maximum altitude and assuming that g = 9.81m/s2, determine(a) The speed v1 of the rocket at the end of powered flight,(b) The maximum altitude reached by therocket.

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27.5 m