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In (14) of Section 1.3 we saw that a differential equation describing the velocity v of a falling mass subject to air resistance proportional to the instantaneous velocity is m (d v)/(d t)=m g-k v where k>0 is a constant of proportionality. The positive direction is downward. (a) Solve the equation subject to the initial condition v(0)=v0 (b) Use the solution in part (a) to determine the limiting, or terminal, velocity of the mass. We saw how to determine the terminal velocity without solving th
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