APFIVE Velocity With Resistive Force
A small sphere of mass m is released from rest in a viscous fluid. The sphere is subject to a resistive force F = -bv, where v is its velocity and b is a positive constant. Which of the following expressions represents the sphere’s velocity as a function of time t?
A
v(t) = (mg/b)(1-e^(-b/mt))
B
v(t) = (mg/b)(e^(bt/m)-1)
C
v(t) = (mg/b)e^(-bt/m)
D
v(t) = (mg/b)(1-e^(-bt/m))
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