A 105 g cue ball is traveling to the right at 12.5 m/s. Meanwhile, a 104 g 8-ball is moving at 13.4 m/s to the left. After the collision, the cue ball is moving off to the left at a velocity of 8.9 m/s. What is the magnitude and direction of the final velocity of the 8-ball?

The velocity of the 8-ball after collision is   and the direction is towards that right

Explanation:

From the question we are told that

 The mass of the cue ball is  

   The speed of the cue ball is  

   The mass of the 8-ball is  

   The velocity of the 8 ball is  

The negative sign is because it is moving left  

    The  velocity of the cue ball after collision is

Generally from the law of momentum conservation

=>    

=>    

=>