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A person runs along a circular path of radius 5 m. If he completes half of the circle, find the magnitude of the displacement vector, How far the person ran ?

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10 m, 5 π m

5 π m, 10 m

5 π m , 19m

14 m, 10πm

answer is A.

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Detailed Solution

Semi-circular Run — Displacement and Distance

A person runs half a circle (R = 5 m)

Answer (option a):

Displacement magnitude:10 m
Distance run:5π m

Explanation

Half circle ⇒ central angle θ = π rad.

Distance (arc length):s = Rθ = 5 × π = 5π m.

Start and end points are opposite ends of a diameter.

Displacement: straight line across diameter = 2R = 10 m.

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