# Relativity of length

Classical Mechanics Level pending

Caught by surprise near a supernova, you race away from the explosion in your spaceship, hoping to outrun the high-speed material ejected towards you. Your Lorentz factor $$\gamma$$ relative to the inertial reference frame of the local stars is $$22.4.$$ To reach a safe distance, you figure you need to cover $$9.00 \times 10^{16} \text{ m}$$ as measured in the reference frame of the local stars. Approximately how long does that trip take in your own reference frame?

×