To pass physics a-level all you need is basic fluency in algebra (mostly GCSE rearranging equations) and a bit of knowledge of logarithms. To properly understand it however, you need A2 calculus and differential equations.
People can take physics without maths, but you would have 0% chance of getting onto a uni physics course without it, and I expect medecine courses would prefer maths anyway. You could take a-level maths with mechanics modules,which kind of covers both bases but not all colleges give the option.