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A farmer moves along the boundary of a square field of side 10m in 40s. What will be the magnitude of displacement of the farmer at the end of 2minutes 20 second from his initial position?
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A farmer moves along the boundary of a square field of side 10m in 40s...
Solution:
Given:
Side of the square field = 10m
Time taken to cover one full round of the field = 40s
To find:
Magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position.
Calculation:
Time taken to cover one round = 40s
Number of rounds covered in 2 minutes 20 seconds = 140s/40s = 3.5 rounds
Hence, the farmer covers 3.5 rounds in 2 minutes 20 seconds.
We can represent the square field and the path taken by the farmer as shown below:
A --------- B
| |
| |
| |
| |
D --------- C
Path taken by the farmer is A -> B -> C -> D -> A
From the figure, we can see that the magnitude of displacement of the farmer is equal to the diagonal of the square field.
Length of diagonal of a square = √2 * side
Length of diagonal of the given square field = √2 * 10m = 14.14m
Therefore, the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position is 14.14m.
Conclusion:
The magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position is 14.14m.
Given:
Side of the square field = 10m
Time taken to cover one full round of the field = 40s
To find:
Magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position.
Calculation:
Time taken to cover one round = 40s
Number of rounds covered in 2 minutes 20 seconds = 140s/40s = 3.5 rounds
Hence, the farmer covers 3.5 rounds in 2 minutes 20 seconds.
We can represent the square field and the path taken by the farmer as shown below:
A --------- B
| |
| |
| |
| |
D --------- C
Path taken by the farmer is A -> B -> C -> D -> A
From the figure, we can see that the magnitude of displacement of the farmer is equal to the diagonal of the square field.
Length of diagonal of a square = √2 * side
Length of diagonal of the given square field = √2 * 10m = 14.14m
Therefore, the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position is 14.14m.
Conclusion:
The magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position is 14.14m.
Community Answer
A farmer moves along the boundary of a square field of side 10m in 40s...
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A farmer moves along the boundary of a square field of side 10m in 40s. What will be the magnitude of displacement of the farmer at the end of 2minutes 20 second from his initial position?
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A farmer moves along the boundary of a square field of side 10m in 40s. What will be the magnitude of displacement of the farmer at the end of 2minutes 20 second from his initial position? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A farmer moves along the boundary of a square field of side 10m in 40s. What will be the magnitude of displacement of the farmer at the end of 2minutes 20 second from his initial position? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A farmer moves along the boundary of a square field of side 10m in 40s. What will be the magnitude of displacement of the farmer at the end of 2minutes 20 second from his initial position?.
A farmer moves along the boundary of a square field of side 10m in 40s. What will be the magnitude of displacement of the farmer at the end of 2minutes 20 second from his initial position? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A farmer moves along the boundary of a square field of side 10m in 40s. What will be the magnitude of displacement of the farmer at the end of 2minutes 20 second from his initial position? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A farmer moves along the boundary of a square field of side 10m in 40s. What will be the magnitude of displacement of the farmer at the end of 2minutes 20 second from his initial position?.
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