A mass of 5 kg is attached to a spring with spring constant 25N/m. The mass is acted on by an external force of 10 sin(t) Newtons and moves in a medium that imparts a viscous force (i.e. friction) proportional to the velocity with constant 10Ns/m. If the mass is set in motion from its equilibrium position with an initial velocity of 60 cm/s, formulate the initial value problem describing the motion of the mass. Then solve this initial value problem. HINT: watch out for the units! Centimeters are not meters!

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