A man walks 40m north, then 30 m east and then 40m south. Find the displacement from the starting point.

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10m

20m

30m

40m

answer is C.

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Detailed Solution

Concept: First, create a diagram that represents the parameters mentioned in the question. Then determine the distance from the starting position. The smallest separation between the man's end location and starting position is referred to as displacement. You can answer this question with the assistance of this knowledge.
Let's start by expressing the issue diagrammatically. The figure will appear as follows:
Question Image

The man is moving 40 meters initially toward the north and then 30 meters toward the east. Then, he moves in a direction toward the south by a distance equal to his motion in a direction toward the north. He will now be perfectly perpendicular to his starting position. This will take the shape of a rectangle with perpendicular angles and opposing sides that are parallel and equal. Because of this, the displacement will be equivalent to the man's journey distance in an easterly direction.
Thus, s=30m.
Hence, option 3 is the correct answer.

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