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## Homework Statement

An unstable particle called the pion has a mean lifetime of 25ns in its own rest frame. A beam of of pions travels through the lab with a speed of 0.60c.

a) what is the mean lifetime of the pions as measured in the lab frame?

b) how far does a pion travel ( as measured by lab observers) during this time?

## Homework Equations

I was able to find part a but not sure about part b. the answer our professor porvided was 5.6m

what exactly is c? is it unit less?

## The Attempt at a Solution

I found a using

t= 1/γ x t inital

for finding how far the pion traveled i was using

d=v t with 0.60 for v and 31ns for t.

however the units are not correct and my answer is not very clse to the given answer.

Thanks in advance :)

this gave me an answer of 31 ns.