A ball is attached to a string and whirled in a circle at constant speed. if we swing the ball so that it goes around the circle more often, its acceleration __________.

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will increase in magnitude. In order for the ball to traverse the circle (distance) more quickly, it's rate of travel (velocity) will need to increase. By necessity, acceleration must increase to allow velocity to be increased, which is needed to traverse the same distance in less time.
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