Help! Baby coughing and scared he’s got something stuck in his throat!

[Babydreaming]

My10 month old isn’t very good at chewing food and commonly gags during meals. Yesterday lunchtime he had a gag episode but nothing too bad. Since then he has been coughing like he’s trying to bring something up. He coughed so much yesterday evening it made him vomit.

I’m scared he’s got something stuck or has got some food in his lung! Breathing seems fine and otherwise well.

How long would you give it before seeking help? Would they do anything in a&e?