The displacement of a particle executing simple harmonic motion is given by

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

The displacement of a particle executing simple harmonic motion is given by x(t)=Acos⁡(ωt+ϕ)x(t)=A\cos(\omega t+\phi). Which one of the following expressions represents its instantaneous velocity v(t)v(t)? (a) Aωsin⁡(ωt+ϕ)A\omega\sin(\omega t+\phi) (b) −Aωsin⁡(ωt+ϕ)-A\omega\sin(\omega t+\phi) (c) −Aωcos⁡(ωt+ϕ)-A\omega\cos(\omega t+\phi) (d) −Aωsin⁡(ωt)-A\omega\sin(\omega t)

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