Relativity of length

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 γ \gamma relative to the inertial reference frame of the local stars is 22.4. 22.4. To reach a safe distance, you figure you need to cover 9.00 × 1 0 16 m 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?

19.020 years 0.850 years 0.425 years 9.510 years

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