The graph shows the displacement from equilibrium or 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 (0.75, -4).
a. What is the period T of the periodic motion?
b. What m the frequency f in Hertz?
c. What the angular frequency ω in radians / second?
d. Determine the amplitude A and the phase angle γ (in radians), and express the displacement in the from y (t) = A cos (ωt - γ), with y in meters.
(e) With what initial displacement y(0) and initial velocity y'(0) was the system set into motion?