A rocket engine can accelerate a rocket launched from rest vertically up with an acceleration of 20.0 m/s2. However, after 50.0 s of flight the engine fails. Neglect air resistance and assume g = 9.80 N/kg throughout the flight. (a) What is the rocket’s altitude when the engine fails? (b) When does it reach its maximum height? (c) What is the maximum height reached? [Hint: A graphical solution may be easiest.] (d) What is the velocity of the rocket just before it hits the ground?
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