An athlete completes one round of a circular track of diameter 200 m in 40 s. what will be the distance covered and the displacement at the end of 2 minutes 20s?

Diameter of circular track (D) = 20m Radius of circular track (r) = 200/2 = 100m Time taken by the athlete in one round(s) = 40s Distance covered by athlete in one round (s) = 2pr =2—(22/7)—100 Speed of the athlete(v)= distance /time =(2—2200)/(7—40) =4400/7—40 Therefore, Distance covered in 140s=Speed(s)—Time(t) =4400/(7—40)—(2—60+20) =4400/(7—40)—140 =4400—140/7—40 =2200m Number of round in 40s=1round Number of round in 140s=140/40 = 3.5 After taking start from position X, the athlete will be at position Y after 3.5 rounds as shown in figure. Hence, Displacement of the athlete with respect to initial position at x=xy = Diameter of circular track =200m

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