Question

An athlete completes one round of a circular track of diame 200 m in 40 s. What will be the distance covered and sdisplacement at the end of 2 minutes 20 s?​

Answer 1

Answer:

At the end of his motion, the athlete will be in the diametrically opposite position. That is, displacement = diameter = 200 m. Hence, the distance covered is 2200 m and the displacement is 200 m.

Answer 2

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Diameter of track = 200m

Radius of track = d/2 = 200/2 = 100 m

Time taken by an athlete to cover 1 round = 40 sec.

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☛Distance and displacement at the end of 2min 20 sec

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Distance covered in 1 round = 2πr

$\bf\:=2\times\:\dfrac{22}{7}\times\:100$

Distance covered in 140 sec

$\bf\:=\dfrac{200\times\:22}{40\times\:7}\times\:140$

$\bf\:=5\times\:22\times\:20$

$\bf\:=2200\:m$

No of round in 140 sec$\bf\:=\dfrac{140}{40}$

$\bf\:=3.5\:rounds$

When he started from A then after 140 sec,he will be at B

Displacement = Straight line from A to B

Displacement = 200 m