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The motion of a small ball bearing dropped into viscous oil can be modeled bythe differential equation m d^2x/d^2t + r dr/dt where m is the mass of the ball, r is a constant related to viscosity of the oil, g is the magnitude of the acceleration due to gravity, and is the vertical distance from the point of release . i. Find the general solution x(t) of this differential equation ii. Use your answer to part i to find limiting value of the velocity in terms of m,g,r and as t becomes very large