Question

You fly 4400 km across the United States on an airliner at 300 m/s . You return two days later traveling at the same speed. Have you aged more or less than your friends at home?By how much?

Answer 1

`1.467* 10^(-8)\ s`

Step-by-step explanation:

Total Distance =
`2* 4400=8800\ km`

v = Speed = 300 m/s

c = Speed of light =
`3* 10^8\ m/s`

Time taken

`t=(Distance)/(Speed)\\\Rightarrow t=(8800000)/(300)\\\Rightarrow t=29333.33\ s`

Time dilation is given by

`t'=\frac{t}{\sqrt{1-(v^2)/(c^2)}}\\\Rightarrow t'=\frac{29333.33}{\sqrt{1-(300^2)/((3* 10^8)^2)}}`

The difference in time would be

`t'-t=\frac{29333.33}{\sqrt{1-(300^2)/((3* 10^8)^2)}}-29333.33=1.467* 10^(-8)\ s`

My age will be less than my friends by
`1.467* 10^(-8)\ s`