A particle executes simple harmonic motion with a time period of \(...

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A particle executes simple harmonic motion with a time period of \( 16 \mathrm{~s} \). At time \( t=2 \mathrm{~s} \), the particle crosses the mean position while at \( t=4 \mathrm{~s} \), its velocity is \( 4 \mathrm{~ms}^{-1} \). The
\( \mathrm{P} \) amplitude of motion in metre is
[Kerala PET 2007]
W
(a) \( \sqrt{2} \pi \)
(b) \( 16 \sqrt{2} \pi \)
(c) \( 24 \sqrt{2} \pi \)
(d) \( 32 \sqrt{2} / \pi \)
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