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Science · Advanced Physics
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I am having trouble with this problem is terms of the change of ref frame w/r to the time, and just wondering if anyone could explain how to approach and solve this type of problem.

Many thanks in advance, question below

A spaceship accelerates away from a planet with a velocity profile

v=sqrt{eta t c^2}

as measured on the planet, where 3 = 0.5/day and c is the speed of light.

After 2 days have passed on earth, what will be the time measured by a clock on the rocket.

Hint : Time on the rocket is the proper time

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