when having the time and the velocity we can find the traveled distance by applying the formula:
[tex]distance=\text{ velocity *time}[/tex]so
Step 1
a)let
[tex]\begin{gathered} velocity=\text{ 300000}\frac{km}{s} \\ \end{gathered}[/tex]now, we need to convert the time ,from years into seconds, to do that, let's use equivalent fractions
[tex]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}[/tex]b) now, replace in the formula
[tex]\begin{gathered} d=v*t \\ d=300000\frac{km}{s}*31536000 \\ d=9460800000000\text{ km} \end{gathered}[/tex]therefore, the answer is
[tex]\begin{equation*} 9460800000000\text{ km} \end{equation*}[/tex]I hope this helps you
