An athlete complete an round of a circular track of diameter 200m in 40sec. What will be the distance covered and displacement at the end of 2 minutes 20 seconds.
Answers
Explanation:
Time taken = 2 min 20 sec = 140 sec. Radius, r = 100 m. InTime to complete one round = 40 sec So, Round completed in 140 sec = 140 40 = 3.5 (three and a half) round. Or, distance covered = 2 x 22/7 x 100 x 3.5 = 2200 m. At the end, the athlete cavers half round and will be at a distance...
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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.