Why do I have to learn this law when they change it every few years?

This has to do with a fact that some (actually, a lot of) people believe that the progress in physics is done in form of revolution and (in particular) that one day we might find laws that will contradict everything we knew up till then.

Well, if one looks closely on history of physics, it should become apparent that progress was always just evolutionary. Even when some idea needed a revolution in the way people think (as with SR and QM) it always turned out to be just a generalization of our previous ideas (so both SR and QM have nice classical limits which coincide with Newtonian mechanics).

Barring the useless philosophical views (like we might live in Matrix or we don't know whether the sun will rise tomorrow for sure) it's pretty certain that our universe is a comprehensible place and our theories are just better and better approximations to the reality. So it will always be useful to learn Newtonian mechanics, even one million years from now.