A certain star is 1.135 × 10^14 km away from Earth. If light travels at 9.4607 × 10^12 km per year, how long will it take for light from the star to reach Earth?

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Answer:

Approximately 11.99 years

Step-by-step explanation:

This is just a type of problem like finding how long it will take for you to get somewhere.  Like in finding how fast you need to go to go to a place that is 60 miles in one hour.  All you have to do is divide the distance of the star by the speed of light, and you get the amount of time it will take for the star's light to reach the Earth.

The time taken by the light to travel from a star to Earth is required.

It would take 12 years for the light to reach Earth.

Distance of star from Earth = [tex]1.135\times 10^{14}\ \text{km}[/tex]

Speed of light from star = [tex]9.4607\times 10^{12}\ \text{km/year}[/tex]

Time is given by

[tex]t=\dfrac{\text{Distance}}{\text{Speed}}\\\Rightarrow t=\dfrac{1.135\times 10^{14}}{9.4607\times 10^{12}}\\\Rightarrow t=11.996\approx 12\ \text{years}[/tex]

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