In an unconstrained elastic collision between two smooth balls moving along x-axis, velocity of the lighter ball changes from \vec{v}1(before the collision) to \vec{v}2 ( after collision). If \vec{v} is the velocity of centre of mass of the system of the balls before the collision
A) \vec{v}1 + \vec{v}2 = \vec{v}
B) \vec{v}1 + \vec{v}2 = 2\vec{v}
C) \mid \vec{v}1 + \vec{v}2\mid < 2\mid \vec{v}\mid
D) \mid \vec{v}1 + \vec{v}2\mid > 2\mid \vec{v}\mid
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