Velocity was a one-on-one competitive sport that was a cross between handball and a phaser range and held on a holodeck. Each player must avoid being hit by a disk by shooting it and sending it back toward their opponent. It was fast-paced game of wit and physical endurance, with both players in constant motion, ducking and spinning.
The disk used in the sport was holographically created, and was described as 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 was played in rounds, and was concluded when a player achieves a "full impact" of the disk with his/her opponent's body.
Captain Janeway and Seven of Nine played a ten round game of Velocity in late-2374. Janeway won, six to four. Seven was annoyed, as she believed that her superior visual acuity and stamina should have easily allowed her to best Janeway, but Janeway described the game as being not just a test of stamina, but rather a game of wits. After their encounter with Arturis, Janeway and Seven played at least two more games. (VOY: "Hope and Fear")
Beckett Mariner and Carol Freeman played a game of Velocity when the USS Cerritos had some downtime on its way to the Kontaran system in 2381. Brad Boimler attempted to join them, but hastily retreated after he realized they were talking about personal issues. (LD: "wej Duj")