Etymology
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Words related to move

*meue- 
*meuə-, Proto-Indo-European root meaning "to push away."

It forms all or part of: commotion; emotion; mob; mobile; moment; momentary; momentous; momentum; motif; motility; motion; motive; moto-; motor; move; movement; mutiny; premotion; promote; remote; remove.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit kama-muta "moved by love" and probably mivati "pushes, moves;" Greek ameusasthai "to surpass," amyno "push away;" Latin movere "move, set in motion;" Lithuanian mauti "push on."
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moving (adj.)

late 14c., "that moves," present-participle adjective from move (v.). From 1650s as "that causes motion;" 1590s as "that touches the feelings." Moving picture in the cinematographic sense is by 1896 (earlier in reference to the zoetrope, 1709). Moving Day is by 1832, American English; traditionally in New York city it was May 1. Moving target (1833) is from gunnery.

movable (adj.)
also moveable, late 14c., "disposed to movement;" c. 1400, "capable of being moved," from Old French movable, from moveir (see move (v.)). A moveable feast (early 15c.) is one in the Church calendar which, though always on the same day of the week, varies its date from year to year. Related: Movability.
mover (n.)

late 14c., mevere, "one who sets (something) in motion," agent noun from move (v.). Originally of God. Meaning "one who moves goods as a profession" is from 1838. Movers and shakers (1874) is from a line of Arthur O'Shaughnessy.

unmoved (adj.)
late 14c., "not affected by emotion or excitement," from un- (1) "not" + past participle of move (v.). Meaning "fixed in position" is from mid-15c.