Question

An athlete completes one round of a circular track of diameter 200m in 40second .what will be the distance covered and the displacement at the end of 2minutes 20second ​

Answer 1

Question :

An athlete completes one round of a circular track of diameter 200m in 40second. What will be the distance covered and the displacement at the end of 2minutes 20second ?

To find :

The distance covered and the displacement at the end of 2minutes 20second

GivEn Data :

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.

Displacement = ?

Speed = Distance/Time

Solution :

Total time athlete moves – 2 min 20 seconds

2 min 20 seconds = 2 × 60 + 20

2 min 20 seconds = 140 seconds

Need to find the distance covered in one round

Distance covered in one round = Circumference of circle

• Distance covered in one round = 2πr

• Distance covered in one round = 2

• Distance covered in one round = 2 × 100π

• 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 = 35

Distance covered = 3.5 × circumference

Distance covered = 3.5 × 2πr

Distance covered = 3.5 × 2 × 3.14 × 100

Distance covered = 2200 m

We know that,

1 km = 1000 m

2.2 km = 2200 m

• Hence, the distance covered at the end of 2 min 20 seconds is 2200 m or 2.2 km

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

Answer 2

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