Calculate DILATED LIFETIME of muon traveling close to speed of light

[LBRRIT2390]

Homework Statement

A muon is traveling with a speed of v = 2.995x10^8 m/s. Calculate the value of the dilated lifetime for this muon. Assume that the speed of light is c = 3.000 x 108 m/s and that the proper lifetime of the muon is 1.500 x 10-6 s.

Note: Do your calculations to 4 significant figures. Then round off to give an answer good to 3 significant figures. Be sure to include the correct abbreviation for the SI unit.

Homework Equations

Dilated lifetime
delta t = delta t₀ / [sqrt 1 - (v²/c²)]

The Attempt at a Solution

How do I incorparoate the proper lifetime of the muon (1.500x10^-6sec)?

 

[LBRRIT2390]

I replaced the numerator Delta t₀ with the proper lifetime.

My answer is 2.599 x 10^-5 seconds.

Is this correct??