Question

A man starts from his home and walks 50 m towards north then he turns towards east and walks 40 m and then reaches to his office after moving 20 m towards south then what is the total distance covered by the man from his home to office ? And what is his displacement from his home to office?

Answer 1

The total distance covered by the man from his home to office is 110 m. His displacement from his home to office is approximately 64.03 m.

Step-by-step explanation:

To find the total distance covered, we need to add up the distances between each point. From his home to the office, the man walks 50 m north, 40 m east, and 20 m south. So the total distance is 50 m + 40 m + 20 m = 110 m.

The displacement is the straight-line distance and direction from the starting point to the ending point. In this case, we can use the Pythagorean theorem to find the displacement. The distance north and south cancels out, so we have a right triangle with legs of 40 m (east) and 50 m (north). Using the theorem, we get the displacement as sqrt(40^2 + 50^2) = sqrt(1600 + 2500) = sqrt(4100) ≈ 64.03 m.

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