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A cyclist starts from the point P of a circular ground of radius 2 km and travels along its circumference to the point S. The displacement of the cyclist is

Asked in JEE Main 4th April 2nd Shift 2024 · Displacement and average velocity

Figure: Displacement and average velocity
Answer: (4) √8 km

Step-by-step solution

P is the top of the circle and S the leftmost point, so the radii OP and OS are at 90°.

Displacement is the chord PS, not the arc travelled.

PS = √OP² + OS² = √2² + 2² = √8 km ≈ 2.83 km.

Why the other options are wrong

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