In a perfectly inelastic collision, the two objects stick together after the collision. The velocity of the objects after collision will be a weighted average of their initial velocities based on their masses. The velocity of ball a after collision can be calculated using the formula: (m1 * v1 + m2 * v2) / (m1 + m2), where v1 and v2 are the initial velocities of balls a and b, and m1 and m2 are the masses of balls a and b respectively.
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