A car is moving with speed \( 30 \mathrm{~m} / \mathrm{sec} \) on a circular path of radius \( 5...

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A car is moving with speed \( 30 \mathrm{~m} / \mathrm{sec} \) on a circular path of radius \( 500 \mathrm{~m} \). Its speed is increasing at the rate of \( 2 \mathrm{~m} / \mathrm{sec}^{2} \), what is the acceleration of the car
[Roorkee 1982; RPET 1996; MH CET 2002;
MP PMT 2003; Similar Kerala PET 2009]
(a) \( 2 m / \sec ^{2} \)
(b) \( 2.7 \mathrm{~m} / \mathrm{sec}^{2} \)
(c) \( 1.8 \mathrm{~m} / \mathrm{sec}^{2} \)
(d) \( 9.8 \mathrm{~m} / \mathrm{sec}^{2} \)
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