A farmer moves along the boundary of a square field of side 10 m in 40 seconds. What'll be the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position?
Class 9,Plz...
Answers
Answer:
farmer moves 10m in 40 sec so total distance travel in 140 sec is 35m so displacement covered in 140 sec is 10-5 = 5 m
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✰Question ✰
⋄ A farmer moves along the boundary of a square field of side 10 m in 40 seconds. What'll be the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position?
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✰Given :-
⋄ 40m Distance covered in 40s.
⋄ Total time taken = 140s
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✰ To Find:-
⋄Displacement of farmer at the end of 140s.
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✰Solution :-
If he take 40s to complete one round of square field.
Total round = 140/40 = 3.5 round .
∴ The displacement of farmer in 3 round is equal to zero
Now, displacement for 0.5 round
⋄ Here, he half round of square field
and we know that displacement is the shortest path between two points.
⋄Here, displacement is AC
so by using Pythagoras theorem
➧ AC² = AB² +BC²
➧ AC = √10² +√10²
➧ AC = √200
➧ AC = 14.14m
∴ The displacement of farmer from his initial position is 14.14m