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## Homework Statement

a 30-year old female astronaut leaves her newborn child on Earth and goes on a round-trip voyage to a star that is 40light-years away in a spaceship travelling at 0.90c. what will be the ages of the astronaut and her son when she returns?

## Homework Equations

[tex]\Delta[/tex] t = [tex]\frac{\Delta t_o}{\sqrt{1 - \frac{ v^2 }{ c^2 }}}[/tex]

## The Attempt at a Solution

40 years (2) +(0.20)(40 years)= 88 years

The astronaut will be 30+88 years = 118 years old when she returns

Using the above equation.

[tex]\Delta[/tex] t = 118 years

v=0.90c

Obtained [tex]\Delta t_o[/tex] = 51.44 years

The astronaut's son will be 51 years old when she returns.

Wondering if I did this correct, I don't have any answers to check from It looks right to me.