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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 \(mins\) 20 \(s\)?
Solution:
From the data given,
Diameter of the circular track (\(d\)) \(=\) 200 \(m\);
Time taken to complete one lap (\(t\)) \(=\) 40 \(s\);
Total Time \(=\) 2 \(mins\) 20 \(s\) (Convert it into \(s\)) \(=\) \(s\);
We know that the formula to calculate the circumference of the circle is,
Substitute the values,
Circumference of the track \(=\) \(m\) \(=\) Distance covered in 40 \(s\)
So,
Distance covered in 2 \(mins\) 20 \(s\) \(=\) \(m\)
Displacement \(=\) \(m\)
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