an athlete complete one round of a circular track of diameter of 200min 4 second what will be the distance covered and the displacement at the end of 2 mins 20 second
Answers
Answer:
First of all,
It should be 40 seconds, not 4 seconds.
Distance covered - 2200m
Displacement - 200m
Explanation:
Diameter is 200m.
So, the radius will be 100m ( 2r=200 => r=100m)
2 minutes 20 seconds is equals to 140 seconds in total.
In 40 seconds, the athelete completes one round.
So, in 140 seconds the athlete will complete = 140/40= 3.5 rounds
One round is considered as Circumference.
Distance covered in 140 seconds = 2πr x 3.5
= 2 x 3.14 x 100
x 3.5
= 2200m
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:
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