
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 farmer at the end of 2 minutes 20 seconds from his initial position?
Answer
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Hint: Draw the diagram and write the given data. Also find the total time in seconds and total distance travelled in a given time period. Then find displacement.
Complete step by step answer:
Displacement is the difference between the final position and initial position of a particle or any object. Here first we will draw the diagram.
Perimeter of square =
Where a = side of square
Total time taken to travel 40 m is 40 s
So time taken to travel 1 m is
Since the farmer travels 2 minutes 20 seconds.
2 minutes 20 seconds =
The distance travelled by farmer in 140 s is
Now, number of rotation to cover 140m along the boundary = total distance perimeter
=
That is 3 complete rotations and half rotation
After 3.5 rotations, the farmer will reach at point C
So, the displacement will be AC
AC length can be calculate by using Pythagoras theorem
So after 2 minutes 20 seconds the displacement of the farmer will be equal to m north.
Note: By mistake students can calculate distance instead of displacement. So, Students should remember the difference between distance and displacement. Here distance is 140m but displacement is m north.
Complete step by step answer:

Displacement is the difference between the final position and initial position of a particle or any object. Here first we will draw the diagram.
Perimeter of square =
Where a = side of square
Total time taken to travel 40 m is 40 s
So time taken to travel 1 m is
Since the farmer travels 2 minutes 20 seconds.
2 minutes 20 seconds =
The distance travelled by farmer in 140 s is
Now, number of rotation to cover 140m along the boundary = total distance perimeter
=
That is 3 complete rotations and half rotation
After 3.5 rotations, the farmer will reach at point C
So, the displacement will be AC
AC length can be calculate by using Pythagoras theorem
So after 2 minutes 20 seconds the displacement of the farmer will be equal to
Note: By mistake students can calculate distance instead of displacement. So, Students should remember the difference between distance and displacement. Here distance is 140m but displacement is
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