3. A rocket is launched vertically from the ground with an initial velocity of 80 m/s. It ascends with a constant acceleration of 4 m/s2 to an altitude of 10 km. its motors then fail and the rocket continues upward as a free fall particle and then falls back down. a) What is the total time elapsed from takeoff until the rocket strikes the ground? b) What is the maximum altitude reached? c) What is the velocity just before hitting ground?
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