Does Flying Across Australia Affect Your Age?

[fredrick08]

Homework Statement

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.

Homework Equations

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

The Attempt at a Solution

ok a. is aged less.
b. I am a bit stuck on.. I am 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 please help?

 

[fredrick08]

ok i know the answer has to be like something 10^-8 s or something... but i just don't see how to it?? I am sure its my t value... but don't know why, please someone help

 

[fredrick08]

anyone at all?