If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?

Options

A. `a T//x`
B. `a T + 2 pi v`
C. `a T//v`
D. `a^(2) T^(2) + 4 pi^(2) v^(2)`

Answer

A

Explanation

`(aT)/(x) = ((omega^(2) x)/(x)) T = omega^(2)T` = constant
Hence, this factor `((aT)/(x))` does not change with time.