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As observed from a telescope on Earth, the Milky Way Galaxy has a length of $100{,}000\text{ light years}$. You have created a spaceship capable of traveling at relativistic speeds and decide to explore the Galaxy. You travel from one end to the other.

If you travel at a constant velocity of $v=0.995c$, what is the observed length of the Galaxy as you measure it on the spaceship?


$100{,}000\text{ light years}$


$1{,}001{,}000\text{ light years}$


$7{,}070\text{ light years}$


$9{,}990\text{ light years}$

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