Which one of the following statements is true | vedclass

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(D) In simple harmonic motion $(S.H.M.)$,the displacement is given by $y = A \sin(\omega t + \phi)$.The velocity is $v = \frac{dy}{dt} = A\omega \cos(

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When $v$ is maximum,$a$ is zero.

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(D) In simple harmonic motion $(S.H.M.)$,the displacement is given by $y = A \sin(\omega t + \phi)$.The velocity is $v = \frac{dy}{dt} = A\omega \cos(\omega t + \phi)$.The acceleration is $a = \frac{dv}{dt} = -A\omega^2 \sin(\omega t + \phi) = -\omega^2 y$.At the mean position $(y = 0)$,the speed $v$ is maximum $(v_{max} = A\omega)$ and the acceleration $a$ is zero $(a = -\omega^2(0) = 0)$.At the extreme positions $(y = \pm A)$,the speed $v$ is zero and the acceleration $a$ is maximum $(a_{max} = \pm \omega^2 A)$.Therefore,when $v$ is maximum,$a$ is zero.

Which one of the following statements is true for the speed $v$ and the acceleration $a$ of a particle executing simple harmonic motion?

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