A catapult launches a test rocket vertically upward from a, Ask an Expert

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A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of81.0m/sat ground level. The engines then fire, and the rocket accelerates upward at4.20m/s2until it reaches an altitude of1160m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of?9.80 m/s2.(You will need to consider the motion while the engine is operating and the free-fall motion separately.)

(a) For what time interval is the rocket in motion above the ground?

(b) What is its maximum altitude?

m/s

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