A mass of 2 kg stretches a spring 4 cm. There is no external force and the mass moves in a medium that impacts a viscous force of 2 N when the speed of the mass is 2 cm/s. If the mass is set in motion from position 1 cm below equilibrium with an initial velocity of 3 cm/s formulate the initial value problem for the motion of the mass x(t). Determine the frequency, period, amplitude, and phase of the motion.
