Which one of the following statements is true for the speed $v$ and the acceleration $a$ of particle…

Which one of the following statements is true for the speed $v$ and the acceleration $a$ of particle executing simple harmonic motion?
  1. When $v$ is maximum, $a$ is maximum
  2. Value of $a$ is zero, whatever may be value of $v$
  3. When $v$ is zero, $a$ is zero
  4. When $v$ is maximum $a$ is zero

Solution

In SHM
$\text {Velocity }=A \omega \sin \left(\omega t+\frac{\pi}{2}\right)$
Acceleration $= A \omega^2 \sin (\omega t+\pi)$
This shows that $V$ is max then $a=0$ :

Asked in: NEET 2004

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