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## Part 1#

For a simple harmonic oscillator with velocity $$v_x(t) = v\_{max}\sin(\frac{2\pi t}{12} - \frac{\pi}{3})$$, find the period of oscillation of the velocity.

Identify which of the below graphs represents the elastic potential energy as a function of time for a simple harmonic oscillator with velocity $$v_x(t) = v\_{max}\sin(\frac{2\pi t}{12} - \frac{\pi}{3})$$.