(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

What is the speed of a pion if its average lifetime is measured to be 4.91E-8s? At rest, its average lifetime is 2.60E-6s. What is the particle's lifetime at rest?

2. Relevant equations

[tex]\Delta t[/tex] = [tex]\Delta t_{0}[/tex] / [tex]\sqrt{1-(v^{2}/c^{2}}[/tex]

3. The attempt at a solution

I don't want to type in all the numbers in the equation so I will tell you where they go.

[tex]\Delta t[/tex]=4.91E-8s

[tex]\Delta t_{0}[/tex]=2.60E-8s

I have everything plugged into where it needs to go, I just can't derive the answer. I am needing to find "v" in terms of "c", if that makes sense. My answer will be v= #.##c

Can someone help me.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Calculating lifetime of a moving pion

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