S3. Suppose a mass-spring system is described by the ODE y" +9y=0 with initial conditions y(0) = -1, and y'(0) = 0. a) How far from equilibrium will the mass get? b) Will the mass move slower as it passes through equilibrium the 4th time it passes through compared to the 1st time? c) Show that the time between a local max (or min) and the subsequent passage through equilibrium is 1/4 the period.

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