A water balloon of mass 180 grams is launched with an initial (vertical) velocity of 45 meters per second, and is leaking at a rate of 50 grams per second. Assume air resistance is proportional to velocity with coefficient k = 63 grams per second, and use 9.81 meters per second squared for the acceleration due to gravity. Find the velocity of the balloon as a function of time. v(t) =

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