Answer:

The distance covered by the athlete is 2200 m and the displacement at the end of 2 min 20s is 200 m.

Explanation:

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Answer:

Answer:

• Distance and displacement are two terms that appear to be identical but have quite different meanings and definitions. The term distance relates to how much ground an object has covered during its motion, whereas displacement refers to how far out of place is an object.

Given parameters

• The diameter of the circular track = 200 m Radius (r) = 200/2 r = 100 m
• Time is taken by an athlete to complete one round = 40 seconds.
• Need to find: Displacement = ??

• Speed = Distance/Time

• Total time athlete moves – 2 min 20 seconds

• 2 min 20 seconds = 2 × 60 + 20

• 2 min 20 seconds = 140 seconds

Find the distance covered in one round

• Distance covered in one round = Circumference of a circle.

• Distance covered in one round = 2πr

• Distance covered in one round = 2 × 100 × π

• Distance covered in one round = 200π

• Time is taken by an athlete to complete one round = 40 seconds.

• Number of rounds completed in 140s = 140/40

• Number of rounds completed in 140s = 3.5

• Distance covered = 3.5 × circumference

• Distance covered = 3.5 × 2πr

• Distance covered = 3.5 × 2 × 3.14 × 100

• Distance covered = 2198 ≈ 2200 m

Displacement in 2 mins that is 120 s will be zero because the athlete will complete 3 rounds and at that time initial position and final position will be the same.

• But, later the next 20 s the displacement will be equal to the diameter of the circular track which is 200 m.
• Hence, the distance covered at the end of 2 min 20 seconds is 2200 m or 22 km.

And displacement is 200 m as it returns to the initial position.