Time dilation

Classical Mechanics Level 3

A certain particle has a lifetime of \( 1.00 \times 10^{-7} \text{ s} \) when measured at rest. How far does it go before decaying if its speed was \( 0.99\) \(c\) when it was created?

The speed of light is \( c = 3 \times 10^8 \text{ m/s.} \)