Question

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

Answer 1

$\huge\bold\red{★AnsWer \: :}$

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

Hence, the distance covered is 2200 m and the displacement is 200 m.

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