If a galaxy is traveling away from us at 2.0% of the speed of light, roughly how far away is it?

t= light years

I got 2.4x10^8 light years but its wrong please help me out...thank you

1 answer

v=0.02•3•10⁸=6•10⁶ m/s
1 MegaParsec = 3.26•10⁶ ly
Hubble’s Law
v=Hd
Hubble constant
H ~70- 80 km/(s•Mpc)
=> v= 80d or v=70d
d=(6•10⁶/80 000)• 3.26•10⁶ =2.45•10⁸ ly
or
d=(6•10⁶/70 000)• 3.26•10⁶ =2.79•10⁸ ly