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You are correct. I'm sorry, I should have posted V = where v is the velocity of system Sv with respect to inertial system So, u' is the velocity of a system Su with respect to system Sv and V is the velocity of Su with respect to So.This is the famous relativistic addition of velocities equation which would be applicable to your plane example. No physicist would ever use an example where v and u' are both at the speed of light because anything with mass cannot travel at the speed of light, only a massless particle can do that.(A photon.) So your consideration that (186,000 miles per seconds) + speed of headlight (186,000 miles per second) = speed of headlight beams (186,000 miles per second)could never happen physically, even though the equation makes sense if both velocities = c, the common notation for the speed of light.
You are correct. I'm sorry, I should have posted V =
where v is the velocity of system Sv with respect to inertial system So, u' is the velocity of a system Su with respect to system Sv and V is the velocity of Su with respect to So.
This is the famous relativistic addition of velocities equation which would be applicable to your plane example.
No physicist would ever use an example where v and u' are both at the speed of light because anything with mass cannot travel at the speed of light, only a massless particle can do that.(A photon.) So your consideration that
(186,000 miles per seconds) + speed of headlight (186,000 miles per second) = speed of headlight beams (186,000 miles per second)
could never happen physically, even though the equation makes sense if both velocities = c, the common notation for the speed of light.