Chapter 4.4, Problem 7P

A mass weighing $3$ lb stretches a spring $3$ in. If the mass is pushed upward, contracting the spring a distance of $1$ in., and then set in motion with a downward velocity of $2$ ft/s, and if there is no damping, find the position $y$ of the mass at any time $t$. Determine the frequency, period, amplitude, and phase of the motion.