The twentieth-century rock song by Steppenwolf that Zefram Cochrane insists on playing at full volume as the Phoenix lifts off on humanity's first warp flight in Star Trek: First Contact.
Magic Carpet Ride is an Earth rock song of the 1960s. In Star Trek: First Contact it belongs to the collection of old recordings that Zefram Cochrane, a hard-drinking engineer living in a Montana encampment in 2063, plays on his jukebox and carries with him.
On 5 April 2063, with Riker and Geordi La Forge beside him in the cockpit of the Phoenix, Cochrane refuses to launch without music. He slots in a disc and the song blares through the converted missile as it climbs out of its silo, prompting Riker to ask him to turn it down a little.
The flight that follows breaks the warp barrier, catches the attention of a passing Vulcan survey ship and leads to first contact that evening.