Answer:
t= 100000.000005 years
Explanation:
Our Milky Way galaxy is 100,000 ly in diameter.
the galaxy's diameter to be a mere 1 ly.
We know that
[tex]L=L_0\sqrt{1-\frac{v^2}{c^2} }[/tex]
L= 1 ly
L_0= 100,000 ly
[tex]1=100,000\sqrt{1-\frac{v^2}{c^2} }[/tex]
v= 0.99999999995 c
so time t= [tex]\frac{d}{v} = \frac{100000c}{0.99999999995c}[/tex]
t= 100000.000005 years