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Relativistic rocket time dilation

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A rocket is launched vertically at a speed of 6.5x10^8 km/hr. Its length measured in the hanger before launch is 32 meters. Clocks on the ground and the rocket are synchronized (t=0) right at the launch. (You can assume that the rocket immediately moves at its final speed right at launch). One minute after the launch (according to the clock on the ground) a radio signal is sent. When the signal reached the antenna on the tail what time is it according to the two clocks (ground and rocket)? What time does it reach the nose antenna for both clocks?

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Solution Summary

The solution calculates some effects of time dilation and length contraction in a signal reaching a rocket.

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Let us take the Earth frame as (t,x) and that of the rocket as (x', t'). One minute (1/60) of an hour) after the launch, due to earth reference, and the rocket has moved a distance of d = vt = 6.5 x 10^8 x ...

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