Special Relativity -- elapsed time while traveling at 0.95c

AI Thread Summary
A particle traveling at 0.95c covers a distance of 10 meters as observed by a stationary observer. The time elapsed for the observer is calculated as approximately 3.5E-8 seconds. From the particle's perspective, due to time dilation, the elapsed time is about 1.1E-8 seconds. The calculations confirm the effects of special relativity on time perception for both the observer and the particle. The solution is deemed correct.
TheLil'Turkey
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Homework Statement


A particle moving at 0.95c travels 10 m, as measured by a stationary observer, and then disappears. How long did the particle live (a) from the point of view of the observer and (b) from the point of view of the particle?

Homework Equations


t = d/v
d = d0/gamma

The Attempt at a Solution


v = 0.95c, d0 = 10 m
a) t0 = d0/v = 3.5E-8 s
b) t = t0/gamma = 1.1*10-8 s

Is this right?
 
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