Velocity in a Resisting Medium The velocity v of an object falling through a resisting medium such as air or water is given by
where v0 is the initial velocity, t is the time in seconds, and k is the resistance constant of the medium. Use L'Hôpital’s Rule to find the formula for the velocity of a falling body in a vacuum by fixing v0 and t and letting k approach zero. (Assume that the downward direction is positive.)
Applied Calculus
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Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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