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Velocity With Resistive Force
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A small sphere of mass m is dropped in a viscous fluid where it experiences a resistive force proportional to its velocity (F = -bv). Which expression correctly describes the sphere’s velocity as a function of time?

A

v(t) = (mg/b)(e^(bt/m)-1)

B

v(t) = (mg/b)e^(-bt/m)

C

v(t) = (mg/b)(1-e^(-bt/m))

D

v(t) = (mg/b)(1-e^(-b/mt))

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