Question

an athlete completes one round of a circular track of diameter 200 metre in 40 seconds .what will the distance covered and the displacement and end of 2 minutes 20 seconds .​

Answer 1

Answer:

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Answer 2

Answer :

We know that, Displacement is the shortest distance between two points.

Now,

Circumference = 2 π r

Diameter = 200 m

Therefore, Radius = 100 m

Thus,

Distance covered in a round i.e 40 seconds = 2 × 22/7 × 100

» 6.28 × 100

» 628 m

This is the distance covered in 40 sec.

Thus, Distance covered in 1 sec,

» 628/ 40

» 15.7m

Now, As per your question,

We have to find the distance covered at the end of 2 min. 20 sec

2 min 20 sec = 140 sec.

Hence, Distance covered in 140 sec

» 15.7 × 140

» 2198 metres.

Distance covered in 140 sec is 2198 metres.

We know that, Displacement is the shortest distance between two points.

Displacement of the athlete will be equal to the diameter of the circular track.

∴ Displacement of the athlete = 200 m

Final answer :

The distance covered  is 2198 metres  the displacement at the end of 2 minutes 20 seconds is 200 m.