Three objects \( A, B \) and \( C \) are kept in a straight line on a frictionless horizontal su...

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Three objects \( A, B \) and \( C \) are kept in a straight line on a frictionless horizontal surface. They have masses \( m, 2 m \) and \( m \); respectively. The object \( A \) moves towards \( B \) with a speed \( 9 \mathrm{~m} / \mathrm{s} \) and makes an elastic collision with it. Thereafter, \( B \) makes completely inelastic collision with \( C \). All motions occur on the same straight line. Find the final speed (in \( \mathrm{m} / \mathrm{s} \) ) of the object \( C \)
[IIT-JEE 2009]
(a) \( 3 m / s \)
(b) \( 4 m / s \)
(c) \( 5 \mathrm{~m} / \mathrm{s} \)
(d) \( 1 \mathrm{~m} / \mathrm{s} \)
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