Answer:
Light takes 14.12 minutes to travel from the Sun to tatoone.
Explanation:
The equation for the average velocity can be used to estimate the time that light will take to travel from the Sun to tatoone. The average velocity is defined as:
[tex]v = \frac{d}{t}[/tex] (1)
Where v is the velocity, d is the covered distance and t is the time.
Therefore, t can be isolated from equation 1:
[tex]t = \frac{d}{v}[/tex]
It is necessary to express the speed of light in terms of minutes:
[tex]3x10^{8} \frac{m}{s} . \frac{60 s}{1 min}[/tex] ⇒ [tex]1.8x10^{10} m/min[/tex]
An astronomical unit is defined as the distance between the Earth and the Sun ([tex]1.496 x 10^{11} m[/tex]).
[tex]d = 1.7 AU \cdot \frac{1.496 x 10^{11} m}{1AU}[/tex] ⇒ [tex]2.5432x10^{11}[/tex]m
Finally, equation 2 can be used:
[tex]t = \frac{d}{v}[/tex]
[tex]t = \frac{2.5432x10^{11}m}{1.8x10^{10} m/min}[/tex]
t = 14.12 min
Hence, light takes 14.12 minutes to travel from the Sun to tatoone.
