Three balls \( A, B \) and \( C \) of masses \( 2 \mathrm{~kg}, 4 \mathrm{~kg} \) and \( 8 \math...

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Three balls \( A, B \) and \( C \) of masses \( 2 \mathrm{~kg}, 4 \mathrm{~kg} \) and \( 8 \mathrm{~kg} \), respectively, move along the same straight line and in the same direction, with velocities \( 4 \mathrm{~m} / \mathrm{s}, 1 \mathrm{~m} / \mathrm{s} \) and \( 3 / 4 \mathrm{~m} / \mathrm{s} \). If \( A \) collides with \( B \) and subsequently \( B \) collides with \( C \), find the velocity of ball \( A \) and ball \( B \) after collision, taking the coefficient of \( \overrightarrow{(A)} \overrightarrow{(B)} \) collision, taking th restitution as unity.
(1) \( v_{A}=3, v_{B}=9 / 4 \)
(2) \( v_{A}=0, v_{B}=3 \)
(3) \( v_{A}=3, v_{B}=0 \)
(4) \( v_{A}=0, v_{B}=0 \)
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