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An object is released from rest at time t = 0 and falls through the air, which exerts a resistive force such that the acceleration a of the object is given by a = g -bv, where v is the object's speed and b is a constant. If limiting cases for large and small values of t are considered, which of the following is a possible expression for the speed of the object as a explicit function of time?

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The solution finds out the speed expression as a function of time when the object falls through the air, which exerts a resistive force.

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