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?
Answers
Explanation:
The diameter of the circular track is given as 200 m. That is, 2r=200 m.
From this radius is calculated as Radius, r = 100 m.
In 40 sec the athlete complete one round. So, in 2 mins and 20 secs, that is, 140 sec the athlete will complete = 140 / 40 = 3.5 (three and a half) rounds.
One round is considered as the circumference of the circular track.
The distance covered in 140 sec = 2πr×3.5=2×3.14×100×3.5=2200 m.
For each complete round the displacement is zero. Therefore for 3 complete rounds, the displacement will be zero.
At the end of his motion, the athlete will be in the diametrically opposite position. That is, displacement = diameter = 200 m.
Hence, the distance covered is 2200 m and the displacement is 200 m.
PLZ MARK BRAINLIST...
Answer:
Distance =2198 metres
Displacement = 200 metres
Explanation:
Given :
- Diameter of the circular track = 200 metres
- Time taken to complete one round = 40 seconds
To find :
- Distance and Displacement at the end of 2 minutes 20 seconds
2 minutes 20 seconds = 140 seconds
Radius of the circular track = 200/2 = 100 metres
No. Of rounds = 140/40
No.of rounds = 3.5 rounds
Distance = 3.5×Circumference of the circle
Distance = 3.5×2×3.14×100
Distance = 2198 metres
The distance covered will be 2198 metres
Displacement at end of 3.5 rounds will be equal to diameter of the circle
Diameter = Displacement = 200 metres