(* means difficultnot just a plug-and-chug, that is) For small particles at low velocities, the first (linear)...

(€œ*€ means €œdifficult€€”not just a plug-and-chug, that is) For small particles at low velocities, the first (linear) term in Stokes€™ drag law, Prob. 1.10, is dominant, hence F = KV, where K is a constant. Suppose a particle of mass m is constrained to move horizontally from the initial position x = 0 with initial velocity V = Vo. Show
(a) That its velocity will decrease exponentially with time; and
(b) That it will stop after travelling a distance x = mVo/K.

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Drag horizontal