For a 10 foot putt the clubhead approaches the ball at a speed of approximately 3-4 mph (depending on the green speed).
The ball will remain in flight for approximately 4 inches before making contact with the green. Because the ball has backspin it will slide and tend to start rolling for approximately 10-12 inches.
Thereafter it will take on a pure rolling motion....and if aimed correctly with the right speed....should fall in the hole!