A particle executes simple harmonic motion with an amplitude of \( ...

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A particle executes simple harmonic motion with an amplitude of \( 4 \mathrm{~cm} \). At the mean position the velocity of the particle is \( 10 \mathrm{~cm} / \mathrm{s} \). The distance of the particle from the mean position when its speed becomes \( 5 \mathrm{~cm} / \mathrm{s} \) is
\( \mathrm{P} \)
[EAMCET (Med.) 2000]
(a) \( \sqrt{3} \mathrm{~cm} \)
(b) \( \sqrt{5} \mathrm{~cm} \)
(c) \( 2(\sqrt{3}) \mathrm{cm} \)
(d) \( 2(\sqrt{5}) \mathrm{cm} \)
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