Suppose you decide to travel to a star 65 light-years away with a speed that tells you the distance is only 25 light-years. How many years would it take to make the trip?
t=t01−v2c2,t=t_0\sqrt{1-\frac{v^2}{c^2}},t=t01−c2v2,
v=c1−t2t02=0.923c,v=c\sqrt{1-\frac{t^2}{t_0^2}}=0.923c,v=c1−t02t2=0.923c,
T=sv=70.4T=\frac sv=70.4T=vs=70.4 years.
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