There are many properties that affect the play of the game.
Linear Momentum
When two billiard balls collide the collision is nearly
elastic. An elastic collision is one in which the kinetic
energy of the system is conserved before and after impact.
Therefore, for simplicity one can assume that for collisions
involving billiard balls, the collision is perfectly
elastic.
The Sweet Spot
The physics of billiards is similar to the Physics Of
Hitting A Baseball, in that there is also a sweet spot on a
billiard ball where you can strike with the cue stick so
that no friction force develops between the ball and the
billiard table. Knowing the location of this sweet spot can
give you an idea of where to hit the ball so that it
develops backspin or forward spin, which can be useful when
making a shot.