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 please
Answers
Answer:
nice question
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.
Explanation:
Diameter of track = 200m
then radius will be = 100m
also length of track = 2πr
=> 2×22/7×100
=> 4400/7m
If 40 sec = 4400/7 m
then 2mint 20 second (140sec) = ?
=> 140/40×4400/7
=> 20×110 = 2200 mtr
so distance is 2200 mtr
and displacement is => 200 mtr