Answer:
[tex]2.67\cdot 10^6 s[/tex]
Explanation:
The radio signal travels to us at the speed of light, so at a speed of
[tex]c=3.0\cdot 10^8 m/s[/tex]
The distance between the spaceship and the Earth is
[tex]d = 8\cdot 10^{14}m[/tex]
Since the signal travel by uniform motion, we can write
[tex]d = vt[/tex]
where
t is the time the signal needs to reach the Earth
By solving the equation for t, we find
[tex]t=\frac{d}{v}=\frac{8\cdot 10^{14} m}{3.0\cdot 10^8 m/s}=2.67\cdot 10^6 s[/tex]
