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using calculus method, Mathematics

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Sheldon as the day for the challenge gets closer wants to enter the race. Not being content with an equal start, he wants to handicap himself by giving the other yachts a head start. He deliberately positions his yacht so that 5 minutes before the race starts; he is 10 meters in front of the start line with a speed directed away from the starting line. He therefore needs to turn and head back to the start line. By the start of the race he is still 8 meters in front of the start line. Sheldon must be in the race for at least 15 minutes. (From when he crosses the starting line)

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