The athlete changes direction six times while running along a hexagonal track.
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The stone’s tangential motion upon release indicates that the direction of motion was changing at every point while it was moving along the circular path.
The stone moves in a straight line when released because it continues to move in the direction it was moving at the instant of release, following the principle of inertia.
When the stone is released from its circular path, it moves along a straight line tangential to the circular path.
Uniform circular motion is the motion of an object moving in a circular path with a uniform speed.
The motion of the athlete along a circular path is considered an example of accelerated motion because, even though the magnitude of his velocity remains constant, there is a continuous change in the direction of his motion.
As the number of sides increases, the length of each side of the track decreases to a point.
As the number of sides increases indefinitely, the shape of the track approaches the shape of a circle.
As the number of sides of the track increases, the athlete has to take turns more and more often.