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Determining the Height an Arrow Flies: Mass M.

An arrow of mass m is shot vertically upward with initial velocity 160 ft/sec. it experiences both the deceleration of gravity and a drag force of magnitude kv^2 due to air resistance, where v is the velocity and k is a coefficient of air resistance. Assuming a drag coefficient of k=1/800 lb m/ft, how high does the arrow go? does your answer depend on the objects mass?

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This solution provides steps to determine the height of an arrow in air.

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