c. 1300, probably from a Scandinavian source (compare Swedish daska, Danish daske "to beat, strike"), somehow imitative. The oldest sense is that in dash to pieces and dashed hopes. Intransitive meaning "move quickly" appeared c. 1300, that of "to write hurriedly" is 1726. Related: Dashed; dashing.
1846, from dash (v.) + board (n.1); "board in front of a carriage to stop mud from being splashed ("dashed") into the vehicle by the horse's hoofs." Of motor vehicles, from 1904.