Great! So now the question I have is, "which of these can the player modulate to change the cue ball trajectory?"
The collection so far is:
ball mass
vector contact duration
coefficient of friction of tip to ball
coefficient of friction of cloth
elasticity of tip restitution
humidity
I think that the player has little to no control over these things from shot to shot, assuming the same equipment is used. Vector contact duration probably isn't going to change all that much on average between normal game shots. Coefficient of friction of tip to ball will remain the same assuming you chalk between each shot. Coefficient of cloth, elasticity of tip, and humidity don't change very much between shots.
Next:
deceleration
rate of deceleration (jerk)
effective end mass
This is interesting. I am going to go ahead and say that since the impact duration probably won't change too much, the deceleration, and jerk, won't affect the cue ball trajectory. My reasoning is that momentum is mass times velocity; the acceleration is embedded in the force of the collision, which occurs as in impulse in a short period of time. Also, I understand that for a longer impact duration, the tip can hug onto the cue ball and move it laterally a small distance, but this is negligible I believe. Accelerating through the cue ball is still a boilerplate rule, but I think accelerating keeps the cue moving in a straight line, and decelerating makes the cue deviate from the straight line. Correct me on this.
Effective end mass can be modulated by changing the bridge length, and this changes the amount of squirt.
Finally:
angle
speed
spin
Randyg agrees. Speed is velocity magnitude. The components of angle and spin are cue ball surface contact point, and angle/pitch.
So.... the things that a player can modulate that have a significant affect on cue ball trajectory is...
1) tip position
2) tip angle/pitch
3) velocity
4) bridge length
Now my point....
If these four physical attributes are responsible for making the cue ball move, then would you agree that high attention and awareness should be made to these, ABOVE ALL OTHER ATTRIBUTES?