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A particle moves in a circle of radius \( 30 \mathrm{~cm} \). Its linear speed is given by \( v=2 t \) where \( t \) in second and \( v \) in \( \mathrm{m} / \mathrm{s} \). Find out its radial and tangential acceleration at \( t=3 \mathrm{sec} \) respectively,
[MP PET 2008]
(a) \( 220 \mathrm{~m} / \mathrm{sec}^{2}, 50 \mathrm{~m} / \mathrm{sec}^{2} \)
(b) \( 100 \mathrm{~m} / \mathrm{sec}^{2}, 5 \mathrm{~m} / \mathrm{sec}^{2} \)
(c) \( 120 \mathrm{~m} / \mathrm{sec}^{2}, 2 \mathrm{~m} / \mathrm{sec}^{2} \)
(d) \( 110 \mathrm{~m} / \mathrm{sec}^{2}, 10 \mathrm{~m} / \mathrm{sec}^{2} \)
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