Which one of the following statements is true for the speed $v$ and the acceleration $a$ of a particle executing simple harmonic motion
AWhen $v$ is maximum, $a$ is maximum
BValue of a is zero, whatever may be the value of $v$
CWhen $v$ is zero, $a$ is zero
DWhen $v$ is maximum, $a$ is zero
AIPMT 2004, Easy
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DWhen $v$ is maximum, $a$ is zero
d (d) In $S.H.M.$ $v = \sqrt {{a^2} - {y^2}} $ and $a = - \,{\omega ^2}y$ when $y = a$
==> ${v_{\min }} = 0$ and ${a_{\max }} = \, - \,{\omega ^2}a$
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