Question

A farmer moves along the boundary of a square field of side 10m 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?​

Answer 1

Answer:

Given: The farmer covers the entire boundary of the square field of side 10 min 40 seconds, So, the total distance travelled by the farmer in 40 seconds is 4 x (10) = 40 meters.

Therefore, the average distance covered by the farmer in one second is 40m / 40 = 1 m

Now, 2 minutes and 20 seconds =140 seconds. The total distance travelled by the farmer in 140 seconds is: 1m×140=140m

Since, the farmer is moving along the boundary of the square field, The total number of laps completed by the farmer will be: 140/40 = 3.5 Laps

Now, the total displacement of the farmer depends on the initial position and final position of the farmer. If the initial position of the farmer is at one corner of the field, the final position is at the opposite corner. So, the total displacement of the farmer will be equal to the length of the diagonal of the square.

Applying the Pythagoras theorem, the length of the diagonal can be obtained as follows:

√ 10^2 + 10^2 = √ 200 = 14.14 m

This is the maximum possible displacement of the farmer.

If the initial position of the farmer is at the mid-point between two adjacent corners of the square, the net displacement of the farmer would be equal to the side of the square, which is 10m. This is the minimum displacement.

If the farmer starts at any random point around the perimeter of the square, the total displacement of farmer after traveling 140m will always lie between 10m and 14.14m.

Answer 2

Answer:

Hi! Uzma . It's Gaurav.

Please refer to the above attachment!!!!

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