Does vomiting nullify one’s fast?

Dr. Zakir: Vomiting can either be intentionally or it can be unintentionally. And our beloved Prophet Muhammad (Sallallahu alaihe wa sallam) said, it’s mentioned in a Sahih Hadith,
It’s mentioned in
Tirmidhi, in the Book of Fasting, Hadith No. 720, our beloved Prophet said, that,
“A person who vomits unintentionally, he should complete his fast and the fast is not broken, but the person who vomits intentionally, the person who vomits intentionally, deliberately then the fast is broken and he has to make up for the fast afterwards”
And the same Hadith is repeated in
Sunan Abu Dawud, Vol. No. 2, in the Book of Fasting, Hadith No. 2374, where the beloved Prophet Muhammad (saw) said, that,
“Anyone who vomits suddenly” same thing unintentionally “then he does not have to atone for it. But if someone vomits intentionally, deliberately, he has to atone for it. But the person who does it deliberately”
For e.g by sticking a finger in his throat or by pressing the stomach or deliberately smelling something which is nasty. Or looking at food which will make him vomit and he continues that then it comes under the category ‘deliberately done.’ So then his fast is broken he has to make up for that. But if it comes unintentionally, no problem.. but when the vomit comes he should not swallow the vomit after it has reached the mouth. If he swallows the vomit after it reaches the mouth it will nullify the fast. So when a vomit comes he should see that the vomit is.. comes out. And if its unintentional it will not break the fast.