Questions & Answers about Instruktor čeká ve studiu.
Both v and ve mean in, but Czech sometimes uses ve instead of v to make pronunciation easier.
Here, ve studiu sounds smoother than v studiu, because v before st- can be awkward to say. This is a common pattern:
- ve škole = in the school
- ve městě = in the city
- ve studiu = in the studio
So ve is just a pronunciation-friendly variant of v.
Because the preposition v / ve usually requires the locative case when it means in or at a place.
The noun studio is a neuter noun, and in the singular locative it changes like this:
- nominative: studio
- locative: studiu
So:
- studio = studio
- ve studiu = in the studio
This is a normal case ending after v / ve when talking about location.