Question Regarding Time Passage @ Light Speed

Austellio
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Homework Statement


"Anthony and Dobson are twins. Dobson travels in a straight line away from Earth for 7 years according to his time at 0.96 times the speed of light. After 7 years he turns back and travels back to Earth at half the speed. Meanwhile, Anthony was waiting stationary on Earth. When Dobson gets back, what is the age difference in years between Anthony and Dobson ?"


Homework Equations





The Attempt at a Solution


None =\ very much confused on this extra credit question.

A couple bucks via PayPal if anyone can help me figure this out. I don't want just an answer, but help understanding the math behind the answer.
 
Physics news on Phys.org
Ever heard of time dilation?
 
I am familiar with the concept but as far as the math behind it, I'm completely clueless. Been reading everything I could get my hands on, it's making me feel real stupid >.<
 

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

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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