Diameter =200m,
radius =200/2=100m,
time =40s, distance =2πr=2*22/7*100
S=distance/time S=2*2200/7*40S=4400/7*40
distance covered in 140s, speed*time,
=4400/7*40*(2*60+20),
=4400/7*40*140,
=4400*140/7*40,
=2200m.
no. of rounds in 40s=1 round
no. of rounds in 140s=140/40
=3 and 1/2 round ,3 1/2
hence displacement of the athlete with respect to initial position =diameter of circular track =200m.
(HOPE YOU UNDERSTAND THIS QUESTION)

Distance Covered:
To find the distance covered by the athlete, we need to calculate the number of rounds completed and multiply it by the circumference of the circular track.

Given:
Diameter of the circular track = 200m
Radius of the circular track (r) = Diameter/2 = 200/2 = 100m
Time taken to complete one round = 40 seconds

Calculations:
1. Circumference of the circular track:
C = 2πr
= 2 * 3.14 * 100
= 628m

2. Number of rounds completed in 2 minutes and 20 seconds:
2 minutes = 2 * 60 = 120 seconds
Total time = 120 + 20 = 140 seconds

Number of rounds = Total time / Time taken for one round
= 140 / 40
= 3.5 rounds

Since the athlete completes a whole number of rounds, we consider only 3 rounds (as 3.5 rounds is not possible).

3. Distance covered:
Distance covered = Number of rounds * Circumference
= 3 * 628
= 1884m

Therefore, the athlete will cover a distance of 1884 meters.

Displacement:
Displacement is the shortest distance between the initial and final position of an object. In this case, since the athlete starts and ends at the same position, the displacement is zero.

Explanation:
- The distance covered is the total length of the path traveled by the athlete, which is calculated by multiplying the number of rounds with the circumference of the circular track.
- The displacement, on the other hand, is the straight-line distance between the initial and final position. Since the athlete starts and ends at the same position on a circular track, the displacement is zero.
- In the given scenario, the athlete completes 3 rounds in 2 minutes and 20 seconds, covering a distance of 1884 meters.
- It is important to note that distance and displacement are different concepts. Distance is a scalar quantity that only considers the magnitude, while displacement is a vector quantity that considers both magnitude and direction.