Answered

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If a car picks up a tack on the circumference of one of its tires, the path traced by the tack as the car is driven is called:

A. a cycloid
B. a parabola
C. an involute
D. an archimedean spiral

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Final answer:

A cycloid is the path traced by a point on a circle's circumference rolling along a straight line, crucial in mathematics and physics.


Explanation:

A cycloid is the path traced by a point on the circumference of a circle as it rolls along a straight line, creating a specific curve. The motion of a point on the rim of a rolling wheel can form this shape.

In the context of the car picking up a tack on the tire's circumference, the path traced by the tack would resemble a cycloid, Option (A) in the question.

Cycloids are essential in mathematics and physics, representing intriguing curves that arise from rolling motion.


Learn more about Cycloids here:

https://brainly.com/question/42953087


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