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A 30-pound mass of weight stretches a spring to a 10-foot spring, if the medium surrounding...

A 30-pound mass of weight stretches a spring to a 10-foot spring, if the medium surrounding the system has a damping coefficient, that is, it is equivalent to 5 times the instantaneous speed and the weight is released from a point located at 16 inches below equilibrium position with an initial velocity of 1 foot per second down. A) Deduce the Differential Equation that models the mass-spring system. b) Calculate the displacements (t) at all times t.

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