Question

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

• A. When v is maximum, a is zero.
• B. When v is zero, a is zero.
• C. When v is maximum, a is maximum.
• D. Value of a is zero, whatever may be the value of v.

Answer 1

The correct option is A When v is maximum, a is zero.

In SHM,
Velocity, $v=\omega \sqrt{A^2-x^2}$
Acceleration, $a=-{\omega }^{2}x$
When $x=0,v=\omega A=$ maximum and $a=0$
When $x=A,v=0$and$a=-{\omega }^{2}A=maximum.$