Question

An athlete runs along a circular track of diameter 80m. The distance travelled and the magnitude of displacement of the athlete when he covers \( \frac{3}{4} \) of the circle is (in m)

• A. 60, 40
• B. 40, 60
• C. 120, 80
• D. 80, 120

Answer 1

The Correct Option is A

Distance travelled = \( \frac{3}{4} \times 2 \pi R = \frac{3}{4} \times 2 \pi \times 40 = 60 \text{m} \)
Displacement = \( \sqrt{R^2 + R^2} = 40 \text{m} \)