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Displacement Versus Distance

Easyphysics

A jogger runs once around a circular track of radius 70 m and returns to the starting point in 88 seconds, what is the magnitude of the jogger's displacement?

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About This Question

Subject
physics
Chapter
kinematics
Topic
displacement versus distance
Difficulty
Easy
Year
2025
Tags
displacementdistancecircular pathclosed loop motionvector magnitude

Solution

Correct Answer:

0 m

According to NCERT Class 11, Chapter 3 (Motion in a Straight Line), displacement is the shortest straight-line vector from the initial position to the final position, whereas distance is the total length of the actual path travelled. When the jogger completes one full circle, the final position coincides exactly with the starting position. Hence the straight-line separation between the start and end points is zero, making the displacement magnitude 0 m, regardless of how long the path was. The option 440 m corresponds to the circumference 2πr = 2 × (22/7) × 70 = 440 m, which is the distance travelled, not the displacement. The option 70 m mistakenly uses the radius as displacement, which is geometrically meaningless here. The option 140 m equals the diameter and would apply only to a half-circle, not a full loop. Plausibility check: displacement can never exceed distance and equals zero only for closed paths; since the motion forms a closed loop, zero is the only consistent answer.

This easy difficulty physics question is from the chapter kinematics, covering the topic of displacement versus distance. It appeared in the 2025 exam.

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