trot (n.) Look up trot at Dictionary.com
"a gait faster than a walk and slower than a run," c.1300, originally of horses, from Old French trot "a trot, trotting" (12c.), from troter "to trot, to go," from Frankish *trotton, from Proto-Germanic *trott- (cognates: Old High German trotton "to tread"), derivative of *tred- (see tread (v.)). The trots "diarrhea" is recorded from 1808 (compare the runs).
trot (v.) Look up trot at Dictionary.com
"go at a quick, steady pace," late 14c., from Old French troter "to trot, to go," from Frankish *trotton (see trot (n.)). Italian trottare, Spanish trotar also are borrowed from Germanic. To trot (something) out originally (1838) was in reference to horses; figurative sense of "produce and display for admiration" is slang first recorded 1845. Related: Trotted; trotting.