If \( x, v \) and \( a \) denote the displacement, the velocity and...

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If \( x, v \) and \( a \) denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion
\( \mathrm{P} \) of time period \( T \), then which of the following does not change with time
[AIEEE 2009]
W
(a) \( a^{2} T^{2}+4 \pi^{2} v^{2} \)
(b) \( a T / x \)
(c) \( a T+2 \pi w \)
(d) \( a T / v \)
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