Velocity
From Memory Alpha, the free Star Trek reference
Velocity is a one-on-one competitive sport that's a cross between handball and a phaser range. Each player must avoid being hit by a disk by shooting it and sending it back toward their opponent. It is fast-paced game of wit and physical endurance, with both players in constant motion, ducking and spinning.
The disk that is used in the sport is an aerodynamic, metallic object, eight inches across, glowing different colors when hit by each competitor's hand phaser – usually from red to blue, corresponding with the competitors' assigned colors. The game is played in rounds, and is concluded when a player achieves a "full impact" of the disk with his/her opponent's body.
Ensign Harry Kim was the captain of his velocity team at Starfleet Academy. (VOY: "The Disease")
Captain Janeway and Seven of Nine played a ten round game of velocity in late 2374. Janeway won, six to four. (VOY: "Hope and Fear")
When Janeway secluded herself from the crew of the USS Voyager while crossing the Void in 2375, Chakotay asked her to join him for a few rounds of velocity on the holodeck. (VOY: "Night")
