This is a differntial equations problem. A mass weighing 8 lb stretches a spring 2ft. Assume there is no damping or external forces acting on the system. Suppose the mass is pulled down 1 ft below its equilibrium position, and released with an upward velocity of 4ft/s. a. Determine the position y(t) of the mass at any time t. b. Find the amplitude, phase angle and period of the motion.

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