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vomiting and burning sensation in throat might be indicating refllux gastritis
When acid peptic disease
associated with a loose lower esophageal sphincter(LES) , it leads to acid refllux occurs to laryngopharyngeal area or throat.
That leads to burning sensation of throat and loose LES feels as something stuck in throat.
So don't worry just you can take antirefllux agent like proton pump
inhibitor and an oral liquid containing semimethicone for an instant relief.
If not relived with in a day than see a ENT specialist
or an gastroentrologist.