Two identical balls marked 2 and 3 , in contact with each other and at rest on a horizontal fric...

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Two identical balls marked 2 and 3 , in contact with each other and at rest on a horizontal frictionless table, are hit head on by another identical ball marked 1 moving initially with a speed \( v \) as shown in figure. Assume the collision is elastic, then mark out the correct statement.
(a) Ball 1 comes to rest and ball 2 and 3 move with speed \( \frac{v}{2} \) each
(b) Ball 1 and 2 come to rest and ball 3 moves with speed \( v \)
(c) Each ball moves with speed \( \frac{v}{3} \)
(d) None of the above
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