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MY NOTES In 14 of Section 1 3 we saw that a differential equation describing...

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Algebra

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MY NOTES 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 dv m mg kv dt where k 0 is a constant of proportionality The positive direction is downward a Solve the equation subject to the initial condition v 0 Vo v t b Use the solution in part a to determine the limiting or terminal velocity of the mass ASK YOUR c If the distance s measured from the point where the mass was released above ground is related to velocity v by ds dt v t find an explicit expression for s t if s 0 0 s t

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