Question

What will be distance and displacement covered by the boy at the end of 1 min and 10 sec?
A) Distance=330m and Displacement=30m
B) Distance=660m and Displacement=15m
C) Distance=440m and Displacement=0m
D) Distance=220m and Displacement=0m​

Answer 1

SIMILAR ANSWER❤️

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.

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.❤️

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