A model rocket is launched vertically upward the engine, Physics

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A model rocket is launched vertically upward the engine

A model rocket is launched vertically upward. The engine provides a constant thrust force of 8 Newton until the rocket reaches an altitude of 100 meter. After the engine burns out, it continues to coast upward to its maximum altitude. The average mass of the rocket is 0.05 kilogram. Neglecting aerodynamic drag, use energy methods to-

(a) Find the velocity of the rocket at engine burnout?

(b) Find the maximum altitude reached by the rocket?

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