Question #109545

How far from the earth would you be able to travel in a lifetime of 89 years if you were able to travel at a constant speed of 0.60c?

Expert's answer

C is the velocity of light in a vacuum equals to "3\\times 10^8ms^{-1}" .

If we are able to travel at a constant speed of 0.6C (which is greater than the escape velocity of earth,11.2kms^{-1}: so escape is possible), the distance would be,

"\\qquad\n\\begin{aligned}\n\\small s&= \\small ut\\\\\n\\small&=\\small0.60\\sdot (3\\sdot10^{8}ms^{-1})\\times (89\\times365\\times24\\times60\\times60 s)\\\\\n\\small&=\\small 5.052\\times10^{17}m\\\\\n&= \\small \\bold{5.052\\times10^{14}km}\n\\end{aligned}"

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