This is a regular verb. It follows the conjugation pattern of the verb falar.
Present:
A Ana passa mal e vomita depois de comer.
A Ana sente-se mal e vomita depois de comer.
Ana feels sick and vomits after eating.
Preterite:
O Miguel vomitou durante a viagem.
Miguel vomited during the trip.
Conditional:
A Clara vomitaria se sentisse aquele cheiro.
A Clara vomitaria se sentisse esse cheiro.
Clara would vomit if she smelled that.