Question

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 20 s?​

Answer 1

Answer:

200m

Explanation:

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

Answer 2

Answer:

Time taken by athlete to complete one round = 40 seconds. Distance covered = ?? Displacement = ?? Hence, the distance covered at the end of 2 min 20 seconds is 22000 m or 22 km.