Vomit

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late Middle English: from Old French vomite (noun) or Latin vomitus, from vomere ‘to vomit’.

wiktionary

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From Middle English vomiten, from Latin vomitāre, present active infinitive of vomitō(“vomit repeatedly”), frequentative form of vomō(“be sick, vomit”), from Proto-Indo-European *wemh₁-(“to spew, vomit”). Cognate with Old Norse váma(“nausea, malaise”), Old English wemman(“to defile”). More at wem.

etymonline

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vomit (n.)

late 14c., "act of expelling contents of the stomach through the mouth," from Anglo-French vomit, Old French vomite, from Latin vomitus, from vomitare "to vomit often," frequentative of vomere "to puke, spew forth, discharge," from PIE root *weme- "to spit, vomit" (source also of Greek emein "to vomit," emetikos "provoking sickness;" Sanskrit vamati "he vomits;" Avestan vam- "to spit;" Lithuanian vemti "to vomit," Old Norse væma "seasickness"). In reference to the matter so ejected, it is attested from late 14c.

vomit (v.)

early 15c., from Latin vomitus, past participle of vomitare (see vomit (n.)). Related: Vomited; vomiting.