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?
  • A$a^2T^2+4$${\pi ^2}{v^2}$
  • B$\frac{{aT}}{x}\;\;$
  • C$\;aT + 2\pi f$
  • D$\;\frac{{aT}}{v}$
AIEEE 2009, Medium
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