Question

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

(a) When c 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

I got this question in a national level competition.

Question is from Oscillations in chapter Oscillations of Engineering Physics I

Answer 1

Correct choice is (d) When v is maximum, a is zero

For explanation: In a simple harmonic motion, acceleration is ahead of velocity in phase by π/2 rad. So when velocity is maximum, acceleration is zero and vice versa.