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Task 6 Two sprinters start the 100-meter race at the same moment and finish exactly at the same time at the finish line, thus sharing

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Task 6 "Two sprinters start the 100-meter race at the same moment and finish exactly at the same time at the finish line, thus sharing the victory. Prove that at at least one point during the race, excluding the starting and ending times, they had exactly the same speed. Justify which mathematical theorem(s) you use."

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