A farmers moves along the boundary of a squase 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 from his initial position? no spam correct ✅ answer needed no copied
Answers
Answer:
→ Hey Mate,
→ Given Question : A farmers 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 from his initial position?
Explanation:
→ At the end of 2 minutes 20 seconds , the farmer will be at c .
→ Displacement = AC
→ AC² = AB ² + BC²
→ = 10² + 10²
→ = 100 + 100
→ = 200
→ AB = 300 m
→ AC= 100 m
→ consider an object starting from A and moving along a straight line 300 m to B It then reverses the direction and moves back 200 m to c.
→ Distance AC = AB + BC
→ = 300 + 200
→ AC = 500 m
→ Displacement AC = 100 m
→ Distance and Displacement will be equal if an object is traveling in a straight line without reversing its direction.
→ At the end of 2 min 20 sec , the farmer will be at c .
→ Displacement = AC
→ AC² = AB² + BC²
→ = 10² + 10²
→ = 100 + 100
→ = 200
→ = 100 × 2
→ AC = √ 100 × 2
→ = 10√ 2
→ THANK YOU
------------------------------------------------------------------------------------------------

Answer:
Q. A farmer movers along the boundary of a square field of side 10 m in 40 seconds of shown in the figure below what will be the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds for his initial position?
Answer :
Given, side of the square field = 10 m
Therefore, perimeter = 10×4 = 40 m
Farmer moves along the boundary in 40 s.
Total time of journey = 2×60+20 = 140 s
Since, in 40 s farmer moves 40 m.
Therefore, in 1 s distance covered by farmer = 40/40 m = 1 m
Therefore, in 140 s distance covered by farmer = 10×4 = 40 m
Now,
Number of rotation to cover 140 along the boundary
= (total distance)/(Perimeter)
= 140/40 = 3.5 m
Thus, after 3.5 round farmer will at point C of the field.
Therefore displacement
(AC)² = (10)² + (10)²
(AC)² = 100+100
(AC)² = 200
AC = √200
AC = 14.143 m
- Thus, after 2 minutes 20 seconds the displacement of farmer will be equal to 14.143 m north east.