What's the etymology of "dash"?

The basic meaning of the verb "dash" is to "strike" violently. A "dash" is a "stroke" of a pen. You can read about it in the relevant entries in the OED.

Here are the references:

6. A hasty stroke of the pen.

1615 J. Stephens Ess. & Characters (new ed.) 414 And thus by meere chaunce with a little dash I have drawne the picture of a Pigmey.

a1656 Bp. J. Hall Shaking of Olive-tree (1660) ii. 310 With one dash to blot it out of the holy Calender.

1691 J. Ray Wisdom of God 20 That this was done by the temerarious dashes of an unguided Pen.

1803 J. Mackintosh Def. Peltier in Wks. (1846) III. 246 Fifty Imperial towns have been erased from the list of independent states, by one dash of the pen.

see Dashboard - a board of leather or wood emplaced so as to prevent mud and debris from being flung from a horse's hooves onto the driver of a cart ("dashed up."). Such debris would hit the protective board with some force (Dashing). Is it possible that moving fast (as in "dashing through the snow") came synonymously from the repetitive "dashing" of debris against the dash-board when moving at speed?