Special Relativity -- elapsed time while traveling at 0.95c

[TheLil'Turkey]

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?

 

[PeroK]

Yes.