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A rocket ship leaves the launch past at rest and accelerates at a rate of 15...

A rocket ship leaves the launch past at rest and accelerates at a rate of 15 m/s2 for 30 seconds. At this point, the engines fail, and the rocket continues under the influence of gravity for several more seconds. What is the maximum height reached by the rocket in meters? How long will the rocket in the previous problem be in flight, from the moment that it launches to the moment that it crashes back into the launch pad? Give your answer in seconds.

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