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The speed of light is a fundamental universal constant that marks the maximum speed at which energy and information can propagate. Its value is $299792458\frac{\mathrm{m}}{\mathrm{s}}$.
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What speed shall I go to make my day longer?
As the others have answered moving fast will not help you. But if you move infinitely far away from the Earth (or just far enough) you will have gravitational time dilation on your side! Unfortunately …
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Communication between two ships moving at relativistic speed
The ships are stationary relative to each other, and so can communicate using lasers as normal. So you are correct that there is an 8 minute delay to the messages sent between the ships from the persp …