You can do something with Physics as far as manually controlling the distance or the speed I am not sure.
But you can preset the speed and distance in your Physics inspector.
You will need to make a scaffold of sorts of invisible static barriers in the screenshot they have blue borders.
Then create your moving piece as Dynamic
Set physics to control gravity with device tilt and you should be good to go.
here is a template.
tilt ad.zip (15.0 KB)