Q. Which one of the following statements is true for the speed $v$ and the acceleration $a$ of a particle executing simple harmonic motion
A) When $v$ is maximum, $a$ is maximum
B) Value of $a$ is zero, whatever may be the value of $v$
C) When $v$ is zero, $a$ is zero
D) When $v$ is maximum, $a$ is zero
Explanation
(d) In S.H.M. $v = \omega\sqrt{a^{2} - y^{2}}\ $and$\ a = - \omega^{2}y$ when $y = 0$
$\Rightarrow v_{\max} = a\omega\ $and$\ a_{\min} = 0$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.