The Physics of Championship Match-Play Putting
When Tom Kim matched Collin Morikawa's birdie on the 12th hole at Royal Montreal during the Presidents Cup, the margin between a tied match and losing the hole came down to millimeter accuracy on green break and terminal cup velocity.
The Fall Line & Lateral Gravity
On bentgrass greens cut to 0.100 inches rolling 12.5 on the Stimpmeter, ball deceleration is caused by grass blade friction ($\mu \approx 0.082$). As the ball slows down towards the cup, the relative ratio of lateral gravitational pull ($g \cdot \sin \theta$) to rolling friction spikes, causing over 65% of total curvature to occur in the final 3 feet.
True Cup Capture Window
The physical diameter of a golf cup is 4.25 inches. If a putt arrives with excessive speed (> 4.5 ft/s), the ball cannot fall under gravity before crossing the 4.25-inch span, causing high-side lip-outs or skimming directly over the hole. Ideal delivery speed enters between 1.0 and 2.2 ft/s (finishing 14 to 18 inches past if it misses).
Match Play Aggression Differential
In stroke play, leaving a 2-foot tap-in protects against a 3-putt. In match play with an opponent already sitting with a birdie in the house, any putt that doesn't reach has zero value ("100% of short putts don't go in"). Players intentionally take out 15-20% of the break by firing the ball with higher entry velocity.