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.

These 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 object \( C \).
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