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for high speed motion through the air air resistance is proportional to the cube of the instantaneous velocity measured where up is the positive direction write differential equation for the 86486
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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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