The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time $t = 0$. Assume that the units of time are seconds, and the units of displacement are centimeters. The first $t$-intercept is $(0.25,0)$ and the first minimum has coordinates $(1.25,-3)$. (a) What is the period $T$ of the periodic motion? $T =$ seconds (b) What is the frequency $f$ in Hertz? What is the angular frequency $\omega$ in radians / second? $f =$ Hertz $\omega =$ radians / second (d) Determine the amplitude $A$ and the phase angle $\gamma$ (in radians), and express the displacement in the form $y(t) = A \cos(\omega t - \gamma)$, with $y$ in meters. $y(t) =$ meters (e) With what initial displacement $y(0)$ and initial velocity $y^{\,\prime}(0)$ was the system set into motion? $y(0) =$   meters $y^{\,\prime}(0) =$ meters / second

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