Question

A farmer moves along the boundary of a square field of side 10m in 40 seconds. What will be the magnitude of displacement of the farmer at the end of 2 minutes and 20 seconds?

Answer 1

Given side of square =10m, thus perimeter P=40m

Time taken to cover the boundary of 40 m =40 s

Thus in 1 second, the farmer covers a distance of 1 m

Now distance covered by the farmer in 2 min 20 seconds = 1×140=140m

Now the total number of rotation the farmer makes to cover a distance of 140 meters =

perimeter total distance =3.5

At this point, the farmer is at a point say B from the origin O

Thus the displacement s= 102 +102

from Pythagoras theorem.

s=10

=14.14m

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