A runner completes one round of a circular path of radius r in 40 seconds. his displacement after 2 minutes 20 seconds will be -
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2 x Radius
Given:
Time Taken by the runner to complete one round = 40 seconds
Displacement time = 2 min 40 secs
Converting into seconds:
= 2 x 60 + 40
= 120 + 20
= 140 seconds
We can write it as:
= 3 x 40 + 20
Here 3 x 40 indicates 3 cycles and 20 indicates half a cycle
Calculating the runners displacement:
The displacement of the runner will be equal to the diameter of the tracks
So,
Displacement = 2 x Radius
Also we can calculate the distance the runner covered:
= Circumference of the track x 3 + Circumference of Half Cycle
= 2 x pi x r x 3 + pi x r
= 6 x pi x r + pi x r
= 6πr + πr
= 7πr
Therefore, the distance covered by his is 7πr Meter.
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