Hey!

As nc has said there is some overlap with physics (e.g. in motion) but physics is designed so that even someone not doing spec or methods can do it. Physics at a uni level is very maths heavy but basically as long as you can rearrange equations and plug numbers in you've got the maths you need for QCE physics. There's some advantage to doing QCE level maths with physics but not enough to impact deciding whether to do spec or not imo.

I'm not a medicine student but from what I've heard there's not much benefit to doing spec for med.

I generally encourage people to take at least one maths subject and preferably either methods or spec to help them keep their options open after high school. The decision about what maths to take should be based on the type of maths you find more interesting - would you rather work with more complex and abstract maths that's more useful for uni maths (spec), more relatable and day-to-day maths (further) or a maths between those two (methods)?

Taking a look at the syllabuses will also help you figure out what's most suited to you