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9. A particle of mass m is moving along the smooth horizontal floor of a tank which is filled with viscous liquid. At timet the particle has a speed v. As the particle moves it experiences a resistive force of magnitude (kmv - ma) N, where k and a are constants. (a) Show that do dt = = (a - kv) (b) If v, is the speed of the particle at time t=0 s, show that: 1 k In a - kv. Q - kv