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In a circular track, an athlete completes one round of diameter $200 m$ in $40 s$ . what would be the displacement at the end of $2$ minutes $20 s$ ?

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Equal to the radius

Equal to the circumference

Equal to the diameter

None

answer is C.

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Detailed Solution

At the end of

2

minutes

20 s

, the displacement would be equal to the diameter.
The athlete makes three and a half rounds (

3.5

rounds) of the circular track in

2

minutes and

20

seconds. Consider if the athlete starts from point

A

(in the figure), then at three complete rounds; the athlete will again reach the same point

A

. when the athlete makes the remaining half round starting from point

A

, he will reach point

B

(which is diametrically opposite to point

A

). So, the displacement will equal the diameter of the circular track, which is

200 m

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