Question: A test rocket is fired vertically upward from a well. A catapult gives it initial speed 90 m/s at ground level. Its engines then fire

A test rocket is fired vertically upward from a well. A catapult gives it initial speed 90 m/s at ground level. Its engines then fire and it accelerates upward at 3.5m/s2 until it reaches an altitude of 850 m. At that point its engines fail and the rocket goes into free-fall, with an acceleration of g=9.80 m/s2. What is its maximum altitude?

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