Pool Shot Dynamics Calculations

Overview

Understand the Physical Setup:

• Review the dimensions of the collision box and ramp.
• Measure all angles, distances, and surfaces (friction, slope, etc.).
• Know the positions of cue and scoring balls, and pocket.

Plan a Strategy:

• Choose the best ball arrangement and sequence of collisions to drive the 8 ball into the pocket.
• Try different angles and impacts in simulations before executing.

Model the System:
For each shot attempt:

• Draw a top-down diagram of the table.
• Apply conservation of momentum to each collision.
• Use Impact calculations (Central Impact or Oblique Impact).
• Use all dynamic related formulas to thoroughly solve.
• Calculate angles using trigonometry and vector projections.

Calculate the Trajectory:

• Initial velocities.
• Post-collision directions and speeds.
• Use kinematic equations for each segment.

Execute the Shot:

• Carefully replicate your model with actual placement and force.
• Record shot performance for report comparison.

Document Everything:

• Include assumptions, equations, diagrams, and data.
• Justify approximations (e.g., neglecting spin or air resistance).
  
  FOR FURTHER INSTRUCTIONS, REFER TO THE DOCUMENT UPLOADED.
  ALL INFORMATION NEEDED WILL BE PROVIDED IN THE DOCUMENT UPLOADED, ON THE LAST PAGE.