A car runs around a circular race track from the point A to diametrically opposite point B The radius of the circle is ‘r’ . The distance tr

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A car runs around a circular race track from the point A to diametrically opposite point B The radius of the circle is ‘r’ . The distance traveled by the car is ________ the displacement of the car is _________ show your work!

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Nem 5 years 2021-07-14T04:57:18+00:00 1 Answers 28 views 0

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    2021-07-14T04:58:18+00:00

    Answer:

    Distance = πr

    Displacement = 2r

    Explanation:

    First we need to find the distance covered by the car. As the car is travelling on a circular path and it traveled to a diametrically opposite point on the circular path. Therefore, the distance covered by the car must be the half value of the circumference.

    Distance = Circumference/2

    Distance = 2πr/2

    Distance = πr

    Since, displacement is the straight line distance between two points. So, the displacement in moving from a point to its diametrically opposite point must be equal to the diameter of circle:

    Displacement = Diameter

    Displacement = 2r

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