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The speed of light is [tex]3 \times 10^5 \, \text{km/s}[/tex]. A star is 4.3 light-years away. If you have a spacecraft that travels [tex]500 \, \text{km/h}[/tex], how long would it take you to get from Earth to the star?

Answer :

Final answer:

A star 4.3 light years away would take approximately 9.18 x 10^6 years to reach with a spacecraft that travels 500 km/hour.

Explanation:

To answer this question, we first need to understand the measure of distance in space. Light years is the distance that light travels in one year. With the speed of light known to be 3 x 10^5 km/s, we can calculate that light travels about 9.461 x 10^12 km in a year.

So, a star that is 4.3 light years away is 4.3 x 9.461 x 10^12 km away. Now, if your spacecraft travels 500 km/h, to convert this to km/year, we multiply by the number of hours in a year. There are 365 days in a year and 24 hours in each day, so there are 365 * 24 = 8760 hours. So, the spacecraft travels 500 * 8760 = 4.38 x 10^6 km/year.

To find out how long it would take to reach the star, you divide the distance to the star by the speed of the spacecraft. This gives an answer in years. With these calculations we can say that it would take approximately 9.18 x 10^6 years for the spacecraft to reach the star that is 4.3 light years away.

Learn more about Light Year Distance here:

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