The equation describing the position of a particle executing simple harmonic oscillation is x = 20 cos(30pi t), where x is in meters and t is in seconds. Find a) the period of the oscillation b) the amplitude of the oscillation c) the phase at times t1 = 1/180 s and t2 = 1/90 s, and d) the position, the velocity, and the acceleration at those times t1 and t2.
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