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Q.

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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a

Equal to the radius

b

Equal to the circumference

c

Equal to the diameter

d

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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