early 14c., literally "a being driven" (at first of snow, rain, etc.); not recorded in Old English, it is either a suffixed form of drive (v.) (compare thrift/thrive) or borrowed from Old Norse drift "snow drift," or Middle Dutch drift "pasturage, drove, flock," both from Proto-Germanic *driftiz (source also of Danish and Swedish drift, German Trift), from PIE root *dhreibh- "to drive, push" (see drive (v.)).
"A being driven," hence "anything driven," especially a number of things or a heap of matter driven or moving together (mid-15c.). Figurative sense of "aim, intention, what one is getting at" (on the notion of "course, tendency") is from 1520s. Nautical sense of "deviation of a ship from its course in consequence of currents" is from 1670s. Meaning "controlled slide of a sports car" attested by 1955.