Answer:
19.2*10^6 s
Explanation:
The equation for time dilation is:
[tex]t = \frac{t'}{\sqrt{1-\frac{v^2}{c^2}}}[/tex]
Then, if it is observed to have a life of 6*10^6 s, and it travels at 0.95 c:
[tex]t = \frac{6*10^6}{\sqrt{1-\frac{(0.95c)^2}{c^2}}} = 19.2*10^6 s[/tex]
It has a lifetime of 19.2*10^6 s when observed from a frame of reference in which the particle is at rest.
