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A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from rest from a point 4 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to  1/2 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to  f(t) = 25 cos(3t).  (Use g = 32 ft/s2 for the acceleration due to gravity.)\ x(t) =           ft

A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from rest from a point 4 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to  1/2 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to  f(t) = 25 cos(3t).  (Use g = 32 ft/s2 for the acceleration due to gravity.)\ x(t) =           ft

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A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from rest from a point 4 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to  1/2 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to 

f(t) = 25 cos(3t).

 (Use g = 32 ft/s2 for the acceleration due to gravity.)\

x(t) =           ft

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