Question

How far does light travel in one year? [This distance is known as a light-year (ly) and is used in measuring astronomical distances.]answer in:______km

Answer 1

`\begin{equation*} 9460800000000\text{ km} \end{equation*}`Step-by-step explanation

when having the time and the velocity we can find the traveled distance by applying the formula:

`distance=\text{ velocity *time}`

so

Step 1

a)let

`\begin{gathered} velocity=\text{ 300000}(km)/(s) \\ \end{gathered}`

now, we need to convert the time ,from years into seconds, to do that, let's use equivalent fractions

`1\text{ year*}\frac{365\text{ days}}{1\text{ year}}*\frac{24\text{ hours}}{1\text{ day}}*\frac{3600\text{ s}}{1\text{ hour}}=31536000\text{ seconds}`

b) now, replace in the formula

`\begin{gathered} d=v*t \\ d=300000(km)/(s)*31536000 \\ d=9460800000000\text{ km} \end{gathered}`

therefore, the answer is

`\begin{equation*} 9460800000000\text{ km} \end{equation*}`

I hope this helps you