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Acceleration is change in velocity. These are vectors that have magnitude and direction. Changing either magnitude (speed) or direction will have the skater be accelerating. SO, if the skater is going at a constant speed of 2m/s in a straight line, he is not accelerating. If he is at a constant speed of 2m/s traveling in a circle (you gave the word "around"), he is accelerating. Going around in circles means there is a force constantly changing your direction. Obviously that force is coming from the skaters legs.

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