CONCLUSIONS
Through our observations, we have shown that Newton's laws can be applied to the game of pool. First, the collisions between the balls are elastic, and therefore momentum is conserved within the system. This was studied through the tracking of their motions to find momentums before and after the collisions. We used the general equation P_total = (m₁v₁) + (m₂v₂) + (m_nv_n), to find each initial and final momentum. Since the initial and final values were statistically similar, with some variance, we were able to conclude that momentum was conserved for each elastic collision.

Conservation of momentum prompted the study of angles of deflection. Through the tracking of ball momentum and the angles between the balls after collisions, momentum is conserved yet again. One sedentary ball was hit by another ball with an initial momentum. The resulting vectors of momentum were 90 degrees apart because they add up to the initial momentum.

We studied the center of mass by colliding three balls and found that it moves at a constant velocity. This was accomplished by tracking the position of the three balls with respect to time and using the equation; . This equation yielded the position of the center of mass with respect to time. When these points were graphed, the center of mass had a linear relationship, thus having a constant velocity.