# Reletivity time dilation

1. Sep 18, 2008

### fredrick08

1. The problem statement, all variables and given/known data
You fly 5000 km across Australia on an airliner at 250 m/s. You return two days later.
(a) Have you aged more or less than your friends at home?
(b) By how much?
Hint: Use binominal approximation.

2. Relevant equations
$$\Delta$$$$\tau$$=$$\sqrt{}1-\beta^2$$*$$\Delta$$t
t=x/v

3. The attempt at a solution
ok a. is aged less.
b. im a bit stuck on.. im doing it like this..
t=(x/v)+48hrs=10000/(250/3.6)+48=192hrs.
then $$\Delta$$$$\tau$$$$\approx$$$$\Delta$$t-.5$$\beta$$^2*$$\Delta$$t=192-.5((250/3x10^8)/3.6)^2*192=192hrs????
im pretty sure this is wrong, probably doing it all wrong could someone plz help?

2. Sep 18, 2008

### fredrick08

ok i know the answer has to be like something 10^-8 s or something... but i just dont see how to it?? im sure its my t value... but dont know why, plz someone help

3. Sep 18, 2008

### fredrick08

anyone at all?