(adsbygoogle = window.adsbygoogle || []).push({}); 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

[tex]\Delta[/tex][tex]\tau[/tex]=[tex]\sqrt{}1-\beta^2[/tex]*[tex]\Delta[/tex]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 [tex]\Delta[/tex][tex]\tau[/tex][tex]\approx[/tex][tex]\Delta[/tex]t-.5[tex]\beta[/tex]^2*[tex]\Delta[/tex]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?

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# Homework Help: Reletivity time dilation

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