Get Updates
Subscribe to receive instant notifications for new study materials and important updates.
An athlete completes one round of a circular track of diameter... - Science
An athlete completes one round of a circular track of diameter 200 \text{ m} in 40 \text{ s}. What will be the distance covered and the displacement at the end of 2 \text{ minutes } 20 \text{ s}?
Given:
Diameter (d) = 200 \text{ m}
Radius (r) = 100 \text{ m}
Time for 1 round = 40 \text{ s}
Total time = 2 \text{ min } 20 \text{ s} = 140 \text{ s}
Number of rounds:
= \frac{140}{40} = 3.5 \text{ rounds}
(a) Distance Covered:
= \text{Number of rounds} \times \text{Circumference}= 3.5 \times 2\pi r= 3.5 \times 2 \times \frac{22}{7} \times 100= 2200 \text{ m}
(b) Displacement:
After 3.5 rounds, the athlete is at the diagonally opposite end of the track.
Displacement = Diameter of the track = 200 \text{ m}