Class 9 Exam  >  Class 9 Questions  >  A farmer moves along the boundary of a square... Start Learning for Free
A farmer moves along the boundary of a square field of the side 10 m in 40 second.what will be the magnitude of displacement of the farmer at the end of ,2 minute 20 second from his initial position?
Most Upvoted Answer
A farmer moves along the boundary of a square field of the side 10 m i...
Community Answer
A farmer moves along the boundary of a square field of the side 10 m i...
Solution:

Given: Side of the square field = 10 m
Time taken by the farmer to move along the boundary of the field = 40 seconds
Time taken by the farmer to move along the boundary of the field for 2 minutes 20 seconds = 140 seconds

To find: Magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position

Explanation:

Distance covered by the farmer in moving along the boundary of the field for 1 round = Perimeter of the square field
= 4 × 10 m = 40 m

Time taken by the farmer to move along the boundary of the field for 1 round = 40 seconds

Therefore, the speed of the farmer = Distance covered / Time taken = 40 m / 40 s = 1 m/s

Now, the time taken by the farmer to move along the boundary of the field for 2 minutes 20 seconds = 140 seconds

Therefore, the number of rounds made by the farmer = Total time taken / Time taken for 1 round
= 140 s / 40 s = 3.5 rounds

Hence, the farmer will be at the initial position at the end of 3 rounds, and in the 4th round, he will be at a distance of 10 m from the initial position in the direction perpendicular to his initial position.

So, the magnitude of the displacement of the farmer at the end of 2 minutes 20 seconds from his initial position = Distance between initial position and final position
= √[(10 m)2 + (10 m)2] = √200 m ≈ 14.14 m

Therefore, the magnitude of the displacement of the farmer at the end of 2 minutes 20 seconds from his initial position is approximately 14.14 m.

Summary:

Initial position of the farmer = at one corner of the square field
Distance covered by the farmer in moving along the boundary of the field for 1 round = Perimeter of the square field = 40 m
Speed of the farmer = Distance covered / Time taken = 1 m/s
Time taken by the farmer to move along the boundary of the field for 2 minutes 20 seconds = 140 seconds
Number of rounds made by the farmer = Total time taken / Time taken for 1 round = 3.5 rounds
Magnitude of the displacement of the farmer at the end of 2 minutes 20 seconds from his initial position = Distance between initial position and final position = √[(10 m)2 + (10 m)2] = √200 m ≈ 14.14 m
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
Explore Courses for Class 9 exam

Top Courses for Class 9

A farmer moves along the boundary of a square field of the side 10 m in 40 second.what will be the magnitude of displacement of the farmer at the end of ,2 minute 20 second from his initial position?
Question Description
A farmer moves along the boundary of a square field of the side 10 m in 40 second.what will be the magnitude of displacement of the farmer at the end of ,2 minute 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 the side 10 m in 40 second.what will be the magnitude of displacement of the farmer at the end of ,2 minute 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 the side 10 m in 40 second.what will be the magnitude of displacement of the farmer at the end of ,2 minute 20 second from his initial position?.
Solutions for A farmer moves along the boundary of a square field of the side 10 m in 40 second.what will be the magnitude of displacement of the farmer at the end of ,2 minute 20 second from his initial position? in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of A farmer moves along the boundary of a square field of the side 10 m in 40 second.what will be the magnitude of displacement of the farmer at the end of ,2 minute 20 second from his initial position? defined & explained in the simplest way possible. Besides giving the explanation of A farmer moves along the boundary of a square field of the side 10 m in 40 second.what will be the magnitude of displacement of the farmer at the end of ,2 minute 20 second from his initial position?, a detailed solution for A farmer moves along the boundary of a square field of the side 10 m in 40 second.what will be the magnitude of displacement of the farmer at the end of ,2 minute 20 second from his initial position? has been provided alongside types of A farmer moves along the boundary of a square field of the side 10 m in 40 second.what will be the magnitude of displacement of the farmer at the end of ,2 minute 20 second from his initial position? theory, EduRev gives you an ample number of questions to practice A farmer moves along the boundary of a square field of the side 10 m in 40 second.what will be the magnitude of displacement of the farmer at the end of ,2 minute 20 second from his initial position? tests, examples and also practice Class 9 tests.
Explore Courses for Class 9 exam

Top Courses for Class 9

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev