Answer:
Sun light takes 8.5 minutes to reach Earth.
Explanation:
Light travels in vacuum at constant speed [tex]c= 3 \times 10 ^8 \cfrac ms[/tex], so we can find the time it takes to travel the given distance from Earth to Sun using a kinematic equation.
Finding the time it takes for Sun light to reach us.
Using the kinematic equation [tex]d = vt[/tex], we can solve for time t, which will give us
[tex]t = \cfrac dv[/tex]
We can replace the equation with the given values, but before doing that, we need the values to be on SI units, thus the distance becomes
[tex]d= 1.53 \times 10^8 km \times \cfrac{1000 m}{1 km }\\d = 1.53 \times 10^{11} m[/tex]
Replacing the values on the time equation give us
[tex]t = \cfrac{1.53 \times 10^{11} m}{3 \times 10^{8} \cfrac ms}\\t = 510 s[/tex]
We get as result 510 seconds, then we must convert them in minutes.
[tex]t = 510 s \times \cfrac{1 min}{60s}\\\boxed{t = 8.5 min }[/tex]
So we can conclude that Sun light takes 8.5 minutes to reach Earth.
