An athlete completes one round of a circular track of diameter 200m in 40second .what will be the distance covered and the displacement at the end of 2minutes 20second
Answers
Answer:
Distance covered = 2200 m
Displacement = 200 m
Explanation:
Given:
- The athlete completes on round of the track in 40 s
- Diameter of the track = 200 m
To Find:
- Distance and displacement at the end of 2 minutes and 20 seconds
Solution:
We know that distance is the measurement of the actual path covered by the body.
At the end of 2 min 20 seconds (140 s), the athlete would have completed 3.5 rounds of the circular track.
Here the distance covered = Circumference of the circular track.
Total Distance covered = 3 × 2πr + πr
= 7 π r
By given, r = 200/2 = 100 m
Therefore,
Distance covered by the athlete = 7 × 22/7 × 100
= 2200 m
The distance covered by the athlete is 2200 m.
We also know that displacement is the measurement of the shortest distance between the initial and final points.
So here,
Displacement = Diameter of the circular track
Displacement = 200 m
Therefore the displacement of the athlete is 200 m.
Given :-
An athlete completes one round of a circular track of diameter 200m in 40second
To Find :-
Distance and Displacement at the end of 2 min 20 sec
Solution :-
We know that
Radius = Diameter/2
Radius = 200/2
Radius = 100 m
1 min = 60 sec
2 m 20 sec = 2(60) + 20
2 m 20 sec = 120 + 20
2 m 20 sec = 140 sec
Now,
Number of round covered = Total time/Time taken to cover 1 round
Number of round covered = 140/40
Number of round covered = 14/4
Number of round covered = 3.5
Now, We need to find circumference of track
C = 2πr
C = 2 × π × 100
C = 200 × π
C = 200π
Now,
Distance covered = Numbers of rounds × Circumference
Distance covered = 3.5 × 200π
Distance covered = 3.5 × 200 × 22/7
Distance covered = 35/10 × 200 × 22/7
Distance covered = 5 × 20 × 22
Distance covered = 100 × 22
Distance covered = 2200 m
Now,
Displacement covered = Shortest distance = Diameter
Displacement covered = 200 m