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Latin word motus comes from Proto-Indo-European *mew(ə)-
*mew(ə)- (Proto-Indo-European)
to wash, wet
moveo (Latin)
(of plants) I put forth. I arouse, excite, promote, produce. I begin, commence, undertake. I disturb, shake, remove. I excite, inspire. I exert, exercise. I move, stir, set in motion. I present or offer (an oblation or gift). I trouble, concern, torment (someone).
motus (Latin)
(by extension) An advance, progress.. (figuratively) A movement, operation, impulse, passion; disturbance; sensation.. (figuratively) A political movement, tumult, commotion, revolt, rebellion.. A movement, motion.