Question

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 a cyclist is :

• A. 6 km
• B. √8 km
• C. 4 km
• D. 8 km

Answer 1

The Correct Option is B

The cyclist moves along the circle's edge from point P to point S, which are diametrically opposite. The displacement is the direct line connecting P and S.

1. Calculate Displacement:

• The circular area has a radius R of 2 km.
• Points P and S are at opposite ends of a diameter.
• The displacement from P to S is equivalent to the diagonal of a square formed by radii OP and OS.

The Pythagorean theorem yields:
\[ \text{Displacement} = R\sqrt{2} = 2\sqrt{2} = \sqrt{8} \, \text{km}. \]

Answer: \(\sqrt{8} \, \text{km}\)