# Relative speed and Time dilation

1. Feb 4, 2009

### stellaman

1. The problem statement, all variables and given/known data
What is the relative speed if two observers record a time difference of 1%

2. Relevant equations
t=(gamma)t'

3. The attempt at a solution

I use the above equation and solved for v, and got

v=sqrt(-c2((t'/t)2-1)

however I am gettin 2.999x108m/s, and I am pretty sure that is not right.

2. Feb 5, 2009

### DukeLuke

Perhaps you can relate $\frac{t}{t'}$ to the 1% time difference. If you can do this you could find a velocity by solving $\frac{t}{t'} = \gamma$ for the v in gamma.