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

Options

A. when v is maximum, a is zero
B. when x 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

A

Explanation

In SHM,
Velocity, `v=omegasqrt(A^(2)-x^(2))`
Acceleration, `a=-omega^(2)x`
When x=0, `v=omegaA=`maximum and a=0
When x=A, v=0 and `a=-omega^(2)A`=maximum