[randywebb]

"miss more warnings the farther the display is from where you're normally looking."

Usually we want things in our line of sight. However, there is human factors data that show that we will react a bit faster to flashes in our peripheral vision (makes sense as that is where a predator sneaking up on an early hominid is likely to first appear). IIRC, the data are out of Wright-Patterson - USAF behavior performance lab.

OTOH, if your reaction is to glance over at the light rather than hit the brake, then rxn time will actually be longer.

I agree that would be a good location... and there is an audible warning too.