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A particle executes simple harmonic motion about the point x = 0. At t=0 it has displacement x = 0.00m and velocity v = +1.00m/s. If the frequency of the motion is 0.250Hz, determine

(a) the period,

(b) the angular frequency

(c) the amplitude

(d) the maximum speed

(e) the maximum acceleration

(f) the displacement at t = 3.67s,

(g) the velocity at t = 3.67s,

(h) the acceleration at t = 3.67s.

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