The velocity (in feet per second) of a rocket whose initial mass (including fuel) is is

Chapter 8, Problem 18

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The velocity (in feet per second) of a rocket whose initial mass (including fuel) is is given by where is the expulsion speed of the fuel, is the rate at which the fuel is consumed, and feet per second per second is the acceleration due to gravity. Find the position equation for a rocket for which pounds, feet per second, and pounds per second. What is the height of the rocket when seconds? (Assume that the rocket was fired from ground level and is moving straight upward.)

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