The train and the light inside.

We have {observer (a)} standing next to the train tracks
observing from outside the train.
We also have {observer (b)}that is sitting in the front of the train.
The train is moving at 0.5c with reference to {observer (a)}
Inside the train, a light is turned on at the back of the train.
(lightsource D)
If it travels to the front of the train and hits {observer (b)}
so...

What speed would the light be doing when it hit the front
of the train according to {observer (a)}?
and..
What speed would the light be doing according to {observer (b)}
How can both be measuring this light to be c?
Please show the math that will show that both (a) and (b) would
measure c for the light if you prefer to use math at all.
:)



.

Relevant Pages

  • Re: Can current theory explain the twin paradox?
    ... won't the observer in the train wonder why the light is taking so long ... train has moved that distance during the fall of the light. ... moving along with the train. ... Below is an excerpt from my essay, "The Time And Motion ...
    (sci.physics.relativity)
  • Re: The relativity of simultaneity
    ... is measured by the track observer and not by the train observer. ... closing speeds to determine the simultaneity of the strikes in the ...
    (sci.physics.relativity)
  • Re: simultaneity
    ... lighting strikes simultaneously the front and rear of a train, ... traveling at a rate of c to the observer ... At the time the strikes occur simultaneously ...
    (sci.physics.relativity)
  • Re: The relativity of simultaneity
    ... is measured by the track observer and not by the train observer. ... closing speeds to determine the simultaneity of the strikes in the ...
    (sci.physics.relativity)
  • Re: The relativity of simultaneity
    ... is measured by the track observer and not by the train observer. ... in the rest frame of the train the lights reach the ...
    (sci.physics.relativity)