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Representing and Analyzing SHM

AP Physics 1· difficulty 2/5

A mass starts at x=+Ax = +A with zero velocity at t=0t = 0. The motion is described by

  • A

    Acos⁡(ωt)A\cos(\omega t)

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  • B

    −Asin⁡(ωt)-A\sin(\omega t)

  • C

    Asin⁡(ωt)A\sin(\omega t)

  • D

    Asin⁡(ωt+π/4)A\sin(\omega t + \pi/4)

Explanation

At t=0t = 0: x=Ax = A, v=0v = 0. The cosine form satisfies both conditions: Acos⁡0=AA\cos 0 = A and −Aωsin⁡0=0-A\omega\sin 0 = 0.

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