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a boy after going around a circular track of radius r comes back to the start point i find displacement and distance covered by him
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a boy after going around a circular track of radius r comes back to th...
displacement is 0 and distance covered is the circumference of the circle
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a boy after going around a circular track of radius r comes back to th...
Displacement and Distance covered by a boy on a circular track


Definitions


  • Displacement: It is the straight line distance between the initial and final point of an object's motion.

  • Distance: It is the total length of the path covered by an object during its motion.

  • Radius: The distance from the center of the circle to any point on its circumference.



Calculation of Displacement


  • The boy starts at a point and ends at the same point, so his displacement is zero.

  • Displacement is a vector quantity, which means it has both magnitude and direction. As the boy ends up at the same point where he started, his displacement is zero.



Calculation of Distance


  • Distance is the total length of the path covered by an object during its motion.

  • For a circular track, the distance covered by the boy is equal to the circumference of the circle.

  • Circumference of a circle = 2πr

  • Here, r is the radius of the circular track.

  • Therefore, the distance covered by the boy = 2πr



Conclusion


  • The displacement of the boy is zero as he ends up at the same point where he started.

  • The distance covered by the boy is equal to the circumference of the circle, which is 2πr.

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