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"If you cycle up a hill and then back down with no net change in elevation, it seems as if your slower uphill speed and faster downhill speed should offset each other. But they don't. Your average speed is less than it would have been had you cycled the same distance on a level road. Similarly, cycling into a headwind for half your trip and returning home with a tailwind yields an average speed less than you would have achieved on a windless day. The faster part of the ride doesn't compensate for the slower part. It seems unjust!"

Assuming the biker transmits always the same power to the bike's pedals (200 Watts for example) prove that the mean velocity with wind is lower than it is for a windless day.

Please help me, thanks

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# Apparent Bycicle Paradox

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