I like the theoretical question about the headlights working,
I would suggest they would because the speed of light is not infinite, so you can have the speed of light +1, and as the headlights are 'in theory' traveling at the speed of light, the light emanating from them would still be relative to the headlight.
I'd also like to know whether light is a particle or a wave.
But anyway a similar but easier question regarding an observable speed.
If you are traveling at the speed of sound and you fart, can anyone hear you,
or smell you, (what speed do smells travel at)?
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