OKAX-686 JAV 57th National Mathematics Contest - First Grade - Problem I: A person is traveling relative to the earth at speed 0.99c. The time it takes for the person to travel a certain distance is 1.5 years relative to the earth. Calculate the time that passes for the person traveling at speed 0.99c. The problem does not involve a force or acceleration that would cause a change in speed. According to the theory of relativity, the time elapsed for that person will be slower than the time elapsed for someone at rest. The formula for this is given by: t' = t / (1 - (v^2/c^2)) Where t' is the times elapsed for the person, t is the time elapsed for someone at rest, v is the speed of the person, c is the speed of light. Given the values: t = 1.5 years, v = 0.99c, c = 1.0c Substitute the values into the formula: t' = 1.5 / (1 - (0.99^2/1.0^2)) t' = 1.5 / (1 - (0.99^2)) t' = 1.5 / (1 - 0.9801) t' = 1.5 / 0.0199 t' = 75.38 years The time that passes for the person traveling at speed 0.99c is 75.38 years. - Cuplikan Gratis dan Subtitle Bahasa Indonesia srt.

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