Stick's Motion Range

From near the cue ball to the stick's resting point on the bridge is the stick's range to move while swinging back and
up to the cue ball contact point while swinging forward. This range varies for different type of shots which will be said later.
For the first type of hit, this distant will beat least half way taken between the hit ball and the stick's resting point on the
bridge to have a constant stick's movement range.

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