A farmer moves along the boundary of a square field of side 10 m in 40 s. What will be the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds?
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Solution
Given, side of the square field,s = 10 m
Therefore, perimeter = 4×s=4×10=40m
The farmer moves along the boundary in 40 s.
Seconds in 2m20s=2×60s+20s=140s
Since in 40 s, the farmer moves 40 m, in 1 s distance covered by farmer = 4040=1m
Therefore, in 140 s, distance covered = 140m.
Number of rounds covered =140m40m=3.5 rounds
If the farmer starts from point A, after 3.5 rounds he will be at point C of the field.
Therefore, displacement AC=√(AB)2+(BC)2 =√(10)2+(10)2 =√100+100 =√200 =10√2 =10×1.414=14.14m