Please provide step by step solution with explanations for this problem.

In a paper by Liu et al$.[2],$ a curve fit of experimental data from an accelerometer is presented and here shown in Fig. $21\mathrm{.}8\mathrm{.}7.$

a$)$ What are the angular and cyclical frequencies and the period of this oscillation?

b$)$ What are the amplitudes of the acceleration, velocity, and displacement?

This problem was taken from a Brown University class.

Figure $21\mathrm{.}8\mathrm{.}7$: Experimental data, taken from Liu et al$.[2]$ shows acceleration as a function of time for a system.