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A runner is running the first heat of a100 m race at a velocity of 6.9 m/s in an easterly direction. There is a tail wind of 1.76 m/s. What is the relative velocity of the runner to the wind? (is it 5.14 m/s?)

The same runner is now running the finals of a100 m race at a velocity of 7.09 m/s in an easterly direction. The wind has shifted to a head wind of 1.1 m/s. What is the relative velocity of the runner to the wind? (is it 8.19 m/s?)

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