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A point \( P \) moves in counter-clockwise direction on a circular path as shown in the figure. The movement of ' \( P \) ' is such that it sweeps out a length \( s=t^{3}+5 \), where \( s \) is in metres and \( t \) is in seconds. The radius of the path is \( 20 \mathrm{~m} \). The acceleration of ' \( P \) ' when \( t=2 \mathrm{~s} \) is nearly
[AIEEE 2010]
(a) \( 14 \mathrm{~m} / \mathrm{s}^{2} \)
(b) \( 13 \mathrm{~m} / \mathrm{s}^{2} \)
(c) \( 12 \mathrm{~m} / \mathrm{s}^{2} \)
(d) \( 7.2 \mathrm{~m} / \mathrm{s}^{2} \)
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