|MadSci Network: Physics|
Hi there , here is my question At t=t'=0 a traveller sets out from earth with velocity u=+0.5c. The traveller is identified with the frame reference O'. He travels for 5 years (according to his clock), and then suddenly reverses direction, returning to earth with the same speed. Plot the world of the traveller in a space -time diagram and Show that for O' his line of simultaneity when his clock reads t'=5 years just after turning around satisfies: t=7.22-0.5x I am not sure how to show a change in speed in the space time diagram. When the traveller is moving away from the earth , the ct'-axis and the x'-axis are both in the first quadrant. (the world line of a photon bisecting the both sets of axes) And the ct'-axis is the traveller's world line , ( I think) . Now, what happens when the he reverses his direction , does the ct'-axis and the x'-axis both reflect about the ct axis? For the second part I used the Lorenz transformation , and I ended up with : t=7.44 - 0.5x . Any help will be highly appreciated.
Re: how do u represent a reverse in velocity in the space time diagram?
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