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 covered at the end of 2 m 20s
Answers
Answer:
Hence, the distance covered at the end of 2 min 20 seconds is 22000 m or 22 km And displacement is 200 m as it returns to the initial position.
Step-by-step explanation:
Given that
Diameter of circular track = 200 m
Radius, r = 200/2 = 100 m
Time is taken by an athlete to complete one round = 40 seconds.
We have to find
Distance covered = ??
Displacement = ??
Formula to be used :-
Speed = Distance/Time
Circumference of circle = 2πr
Solution :-
2 min 20 seconds = 140 seconds
Number of rounds = 140/4 = 35
= Distance covered = 35 × circumference
= Distance covered = 35 × 2 × 22/7 × 100
= Distance covered = 5 × 2 × 22 × 100
= Distance covered = 22000 m
Hence, the distance covered at the end of 2 min 20 seconds is 22000 m or 22 km.
And displacement is 200 m as it returns to the initial position