A body is performing simple harmonic motion with amplitude A and time period `T` variation of its acceleration `(f)` with time`(t)` is shown in figure If a line `x` velocity of the body is `x` which of the following graph is correct?

Options

A.
B.
C.
D.

Answer

A

Explanation

Acceleration of a particle executing `SHM` is always directed toward the mean position and its magnitude is velocity properition is that it displacement from mean position.
Since acceleration of it’s the particle at initial moment a maximumm position and is negative the particle is at right execute position is at right exectude position at this moment.
when the particle is relassed it closed it start is move in the left it mean velocity start value and its magnitude becomes maximum position at mean position (at `t = T//4)`.