Vertical Motion A falling object encounters air resistance that is proportional to its

Chapter 6, Problem 40

(choose chapter or problem)

Vertical Motion A falling object encounters air resistance that is proportional to its velocity. The acceleration due to gravity is meters per second per second. The net change in velocity is (a) Find the velocity of the object as a function of time if the initial velocity is (b) Use the result of part (a) to find the limit of the velocity as approaches infinity. (c) Integrate the velocity function found in part (a) to find the position functions.

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