The short version is that this guy hauled three cesium atomic clocks up a mountain while on vacation with his kids. They returned 23 ns older then the guy's wife (who stayed home to study for her nursing board exams).
Note that time dilation isn't just caused by motion (special relativity), but also by proximity to a gravity well (general relativity).
Time dilation of everyday life is so small that it's not detectable to all but atomic clocks, over the course of your entire life. So the differences between 10 miles is so negligible it doesn't even exist as an issue.
Good luck with your GPS navigation then. "You are here. (Give or take 10 miles, no biggie, eh?)" There is a surprising number of applications in your everyday life for which Newtonian physics are not precise enough.
Mostly it's not. Charitably, someone writing software for e.g. a particle physics experiment might actually need to account for altitude to produce accurate results.
Of course, that's the sort of domain-specific demand that might not belong in a general-use list. People writing sound engineering software have to worry about all kinds of subtleties with sample rates and harmonics, but I wouldn't put that in a guide to basic data I/O - I might not even put it in a basic analog-to-digital guide.
Woah, what? Like, they're talking about effects of relativity because someone is traveling "faster" as the earth spins at the top of a mountain?