How do cue ball and object ball speeds and travel distances vary with cut angle?

For stun shots, see the graph and summary statements on page 2 of:

TP 3.2 – Ball speeds and distances after stun-shot impact

For roll shots, see the graph and summary statements on page 3 of:

TP A.16 – Final ball speeds, distances, and directions for natural roll shots

and see:

TP B.5 – Rolling CB, direct-hit hop and ball travel distances

Here are some useful conclusion statements from the analyses:

  • With a stun shot, the cue ball and object ball speeds and travel distances are the same for a 45° cut angle. The post-impact speeds are equal and about 70% of the initial cue ball speed. The distances are also equal and 50% of the distance the stunned cue ball would travel if there were no collision.
  • With a rolling cue ball, the ball speeds and distances traveled are the same at a little less than a 1/2-ball hit,
    which is slightly more than a 30° cut angle.
  • If a rolling cue ball hits an object ball squarely, the object ball will travel about 7 to 8 times farther than the cue ball after impact. This number can vary quite a bit with ball and cloth conditions.
  • Distance vs. cut angle and ball-hit fraction plots, and approximate ball-distance proportions for various common angles can be found on pages 10 and 11 of TP A.16.

Fundamentals – Part VII: speed control” (BD, March, 2009) also provides some good illustrations and examples.

What is tip height on the cue ball results in the best speed and distance consistency?

See optimal tip height for speed control.

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