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Representing and Analyzing SHM

AP Physics 1· difficulty 3/5

For SHM x(t)=Asin⁡(ωt)x(t) = A\sin(\omega t), the velocity is v(t)=Aωcos⁡(ωt)v(t) = A\omega \cos(\omega t). The velocity leads the position by

  • A

    π/4\pi/4

  • B

    π/2\pi/2

    check_circle
  • C

    π\pi

  • D

    00

Explanation

vv is the time-derivative of xx; cos⁡(ωt)=sin⁡(ωt+π/2)\cos(\omega t) = \sin(\omega t + \pi/2) → velocity leads position by 90∘90^\circ (π/2\pi/2).

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