Very small particles moving in viscous fluids experience a drag force proportional to
speed. Consider a particle of net weight W dropped in a fluid. The particle experiences a
drag force, FD = kV, where V is the particle speed. Determine the time required for the
particle to accelerate from rest to 95 percent of its terminal velocity Vt in terms of k, W,
and g. Express the distance required to reach 95% of its terminal speed in terms of g, K,
and W.