The speed of the spaceship relative to the galaxy is 0.99999995c.
A light-year measures distance rather than time (as the name might imply). A light-year is a distance a light beam travels in one year on Earth, which is roughly 6 trillion miles (9.7 trillion kilometers). One light-year equals 5,878,625,370,000 miles. Light moves at a speed of 670,616,629 mph (1,079,252,849 km/h) in a vacuum.We multiply this speed by the number of hours in a year to calculate the distance of a light-year (8,766).
The Milky way galaxy is 100,000 light years in diameter.
The galaxy's diameter is a mere 1. 0 ly.
We know that ;
[tex]L = L_0 \sqrt{1-\frac{v^2}{c^2} }[/tex]
L = 1 light year
L₀ = 100,000 light year
[tex]1 = 100,000 \sqrt{1-\frac{v^2}{c^2} }[/tex]
[tex]1 = 100,000 \sqrt{1-\frac{v^2}{(3*10^8)^2} }[/tex]
[tex]\frac{1}{100,000} = \sqrt{1-\frac{v^2}{c^2} }[/tex]
[tex]v = 0.999999995[/tex] [tex]c[/tex]
Therefore, the speed of the spaceship relative to the galaxy is 0.99999995c.
Learn more about a light year here:
https://brainly.com/question/17423632
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