Answer :
Answer:140 Meters
Explanation:o determine the magnitude of displacement of the farmer, we start by calculating his speed.
Given:
Side length of the square field
=
10
s=10 m
Time taken to move along the boundary of the square field = 40 s
First, calculate the perimeter of the square field:
Perimeter
=
4
×
=
4
×
10
m
=
40
m
Perimeter=4×s=4×10 m=40 m
Next, calculate the speed of the farmer:
Speed
=
Distance
Time
=
40
m
40
s
=
1
m/s
Speed=
Time
Distance
=
40 s
40 m
=1 m/s
Now, convert 2 minutes 20 seconds to seconds:
2
minutes
+
20
seconds
=
2
×
60
+
20
=
140
seconds
2 minutes+20 seconds=2×60+20=140 seconds
Calculate the displacement using the formula:
Displacement
=
Speed
×
Time
Displacement=Speed×Time
Displacement
=
1
m/s
×
140
s
=
140
m
Displacement=1 m/s×140 s=140 m
Therefore, the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position is
140
140
meters.