Halliday, Resnick & Walker — Oscillations: Problem Problem_90

A particle executes linear SHM with frequency 0.25 Hz about the point \(x = 0\). At \(t = 0\), it has displacement \(x = 0.37 \text{ cm}\) and zero velocity. For the motion, determine the (a) period, (b) angular frequency, (c) amplitude, (d) displacement \(x(t)\), (e) velocity \(v(t)\), (f) maximum speed, (g) magnitude of the maximum acceleration, (h) displacement at \(t = 3.0 \text{ s}\), and (i) speed at \(t = 3.0 \text{ s}\).