Edit: I am utterly wrong about my first point, the export controls don't kick in til 1,200mph or 59,000 feet; Both much faster and higher than standard commercial jetliners. [1]
GPS on your phone can't, by US law, work when you're in a plane. It is required that consumer GPS devices stop sending data when it is traveling over a certain speed, to prevent them from being repurposed as guidance systems for cruise missiles. Seriously.
You don't really need it, though. If you've got two or three people on the plane, the signal from when they all turn off airplane mode is a fairly good landing indicator. Takeoff is less steady; You're theoretically supposed to turn off your phone when they close the cabin door, but most people I know don't until they are actually taxiing down the jetway.
[1]https://en.wikipedia.org/wiki/CoCom#Legacy