If a clock in an airplane is found to slow down by 5 parts in 1013, (i.e. Δt/Δto = 1 + 5x10-13), at what speed is the airplane travelling? (Hint: You may need to use the binomial expansion for γ.)
To be honest, I'm really confused about what this question's telling me. What's in the brackets?
γ = 1/√(1-v2/c2)
That's the equation I used.
The Attempt at a Solution
When I rearranged the equation to find the velocity, I got v = √((1-(1/γ)2)(c2))
I subbed in 1 + 1.5x10-13 for γ but I keep getting 0 as my velocity and the answer's supposed to be 300 m/s. Am I even doing this right? Thanks in advance! I appreciate any help you can give me!