The third stage of a rocket fi red vertically up overthe north pole coasts to a maximum

Chapter 3, Problem 3/127

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The third stage of a rocket fired vertically up over the north pole coasts to a maximum altitude of \(500 \mathrm{~km}\) following burnout of its rocket motor. Calculate the downward velocity v of the rocket when it has fallen \(100 \mathrm{~km}\) from its position of maximum altitude. (Use the mean value of \(9.825 \mathrm{~m} / \mathrm{s}^2\) for g and \(6371 \mathrm{~km}\) for the mean radius of the earth.)

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