A man is \( 45 \mathrm{~m} \) behind the bus when the bus starts accelerating from rest with acc...

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A man is \( 45 \mathrm{~m} \) behind the bus when the bus starts accelerating from rest with acceleration \( 2.5 \mathrm{~m} / \mathrm{s}^{2} \). With what minimum velocity should the man start running to catch the bus
[J \& K CET 2005]
(a) \( 12 \mathrm{~m} / \mathrm{s} \)
(b) \( 14 \mathrm{~m} / \mathrm{s} \)
(c) \( 15 \mathrm{~m} / \mathrm{s} \)
(d) \( 16 \mathrm{~m} / \mathrm{s} \)
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