Effects of Air Resistance on Velocity If we assume that

Chapter , Problem 4.5.74

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Effects of Air Resistance on Velocity If we assume that air resistance is proportional to the square of the velocity, then the time t, in seconds, required for an object to reach a velocity v in feet per second is given by t = 924 ln24 + v24 - v, 0 v 6 24 a. Determine the velocity, to the nearest hundredth of a foot per second, of the object after 1.5 seconds. b. Determine the vertical asymptote for the graph of this function. c. Write a sentence that explains the meaning of the vertical asymptote in the context of this application.

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