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The Collaborative International Dictionary
Accelerating force

Accelerate \Ac*cel"er*ate\, v. t. [imp. & p. p. Accelerated; p. pr. & vb. n. Accelerating.] [L. acceleratus, p. p. of accelerare; ad + celerare to hasten; celer quick. See Celerity.]

  1. To cause to move faster; to quicken the motion of; to add to the speed of; -- opposed to retard.

  2. To quicken the natural or ordinary progression or process of; as, to accelerate the growth of a plant, the increase of wealth, etc.

  3. To hasten, as the occurence of an event; as, to accelerate our departure.

    Accelerated motion (Mech.), motion with a continually increasing velocity.

    Accelerating force, the force which causes accelerated motion.
    --Nichol.

    Syn: To hasten; expedite; quicken; dispatch; forward; advance; further.

Wiktionary
accelerating force

n. The force which causes accelerated motion.