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A Particle Moving in Simple Harmonic Motion with a Period

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A particle moving in simple harmonic motion with a period T = 1.5 s passes through the equilibrium point at time t0 = 0 with a velocity of 1.00 m/s to the right.A time t later,the particle is observed to move to the left with a velocity of 0.50 m/s.(Note the change in direction of the velocity.) The smallest possible value of the time t is


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