Train, ball thrown, special relativity

airfrek
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This is a question off a take-home exam and I just need some help getting started on each part.

Homework Statement


A train of length L moves at speed 3c/5 with respect to the ground. A ball is thrown from the back to the front, at speed c/3 with respect to the train. How much time does this take, and what distance does the ball cover in the train's frame, the ball's frame, and the ground's frame?
 
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For the train and the ball's frame you can treat this as if you were stationary and threw the ball.

For the ground's frame you need to find the ball's velocity, so you use relativistic velocity addition.

You will have to show some work from here on out if you want more help :)
 
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Yeah I'm sorry about that. This is my first time using something like this. I wasn't sure what I was supposed to do, but yeah I'll do a better job next time. Thank you for your help.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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