Acceleratedly

adv. [f. prec. + -LY².] In an accelerated manner; with ever increasing speed.

1751.  Blake, Steam-Eng. Cyl., in Phil. Trans., XLVII. 198. A weight on the piston, driving it to a depth of five feet … within the cavity of the cylinder; acceleratedly, till friction and an impediment from the steam … shall equal the accelerative force.