Answer to Question #109545 in Mechanics | Relativity for lynne

Question

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?

Answer 1

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,

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