The proper mean lifetime of a subnuclear particle called a muon is 2 µs. muons in a beam are traveling at 0.902 c relative to a laboratory. the speed of light is 2.998 × 108 m/s. in the reference frame of the muon, how far does the laboratory travel in a typical lifetime of 2 µs?

To solve this problem it is necessary to apply the equations related to the time measured from a relative viewer and the mathematical equations of motion.

Speed is defined as

Where,

d = Distance

t = Time

Re-arrange to find d,

Applying the equations of relativity of time,

Where,

v = Velocity

c = speed of light

Reference time

t = relative time

Replacing,

Therefore the distance would be

Therefore the travel will be 5.5Km

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