The answers for part a and b have been provided, I just need help with c and d.

Question

The answers for part a and b have been provided, I just need help with c and d.

An unstable high-energy particle is created in the laboratory, and it moves at a speed of 0.980c. Relative to a stationary reference frame fixed to the laboratory, the particle travels a distance of 1.27 10-3 m before disintegrating.
(a) What is the proper distance traveled?
1.27e-3 m

(b) What is the distance measured by a hypothetical person traveling with the particle?
.25 e-3 m

(c) Determine the particle's the proper lifetime.
s

(d) Determine the particle's dilated lifetime.
s

Please provide answers

Explanation / Answer

L   = L0 sqrt (   1- v2 /c2 )

Here L   =   distance mesured by the hypothetical person traveling with the particle

velocity   v = 0.98c

plug all the values   we get  

(d)According to time deliation

particle delated life time is

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