# Solve the equation for v?

How would I isolate v in this equation?

vt=L*√(1-(v^2/c^2))

Thanks!

### 2 Answers

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- Steve ALv 79 years agoBest Answer
vt=L*√(1-(v^2/c^2))

square both sides

v^2t^2 = L^2(1-(v^2/c^2)

v^2t^2 = L^2 - L^2v^2/c^2

v^2t^2 + L^2v^2/c^2 = L^2

v^2(t^2 + L^2/c^2) = L^2

v^2 = L^2 / [(t^2c^2 +L^2)/c^2]

v^2 = L^2c^2 / (t^2c^2 + L^2)

v = √[(L^2c^2 / (t^2c^2 + L^2)]

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