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persephoneia
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Homework Statement
Suppose you decide to travel to a star 65 light-years away at a speed that tells you the distance is only 25 light-years. How many years would it take you to make the trip?
Homework Equations
∆t=∆t0/(√ (1−v2/c2 )) / ∆t0 = ∆t √(1−v2/c2)
L=L0√ (1−v2/c2)
The Attempt at a Solution
I've attempted to use the length contraction equation to find the velocity (v=c√(1-(25/65)^2) but when I plug that into the time dilation equation I don't get the correct answer. I get 25 when the answer should be 27. Where am I going wrong?