A athlete completes a round of circular track of diameter 200m in 40 seconds. what will be the distance covered and the displacement after 2 minutes 20 seconds?
Answers
2 minutes 40 second have 140 seconds so in 140 sec the athlete I will reach on the other side of the diameter so that displacement is 200 metre
Answer:
Distance=2200m
Displacement=200m
Explanation:
Total time= 2minutes 20seconds
= 2 × 60seconds + 20seconds
= 140s
In 40s, the number of rounds completed = 1
So, In 140s the number of rounds
completed =1/40×140 = 3.5
Distance covered in 3.5 rounds
The diameter is given to be 200m, so the radius = 200/2 = 100m.
Now, Distance covered in 1 round
=Circumference of circular track
=2πr
=2×22/7×100m
=628.57m
And, Distance = 628.57 × 3.5m
in 3.5 rounds = 2200m
Displacemant in 3.5 rounds:-
The athlete makes 3 and a half rounds of the circular track. Now, if the athlete starts from point A, then after 3 complete rounds, he will reach at the same point A. And when the athlete again starts from point A and makes the remaining half round, he will reach at the point B. So, the displacement will be equal to diameter of the circular track which is 200m.