Terminal Velocity with Air Resistance The velocity v, in

Chapter , Problem 4.5.75

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Terminal Velocity with Air Resistance The velocity v, in feet per second, of an object t seconds after it has been dropped from a height above the surface of the Earth is given by the equation , assuming no air resistance. If we assume that air resistance is proportional to the square of the velocity, then the velocity after t seconds is given by v = 100ae0.64t - 1e0.64t + 1ba. In how many seconds will the velocity be 50 feet per second? b. Determine the horizontal asymptote for the graph of this function. c. Write a sentence that explains the meaning of the horizontal asymptote in the context of this application.

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