Answer:
First, let's find out the distance covered in 2 minutes 20 seconds.
1. Calculate the distance covered in one round:
The circumference of the circular track = π × diameter
Circumference = π × 200 m = 628.32 m (approximately)
2. Calculate the distance covered in 2 minutes 20 seconds:
Time taken for one round = 40 seconds
Number of rounds completed in 2 minutes 20 seconds:
\( \frac{2 \times 60 + 20}{40} = \frac{140}{40} = 3.5 \) rounds (approximately)
Total distance covered = 3.5 rounds × circumference
Total distance covered = 3.5 × 628.32 m ≈ 2199.12 m
So, the distance covered at the end of 2 minutes 20 seconds is approximately 2199.12 meters.
Now, let's find the displacement.
Since the athlete completes 3.5 rounds, he/she ends up at a point on the circular track which is not the starting point. The displacement is the straight-line distance between the starting point and the ending point.
For every complete round, the displacement is equal to the diameter of the circular track. So, the total displacement after 3.5 rounds is:
Displacement = 3.5 × diameter
= 3.5 × 200 m
= 700 m
So, the displacement at the end of 2 minutes 20 seconds is 700 meters.
