Question

A person walks along the sides of a square field. Each side is 10m long. What is the maximum magnitude of displacement of the person in any time interval?

Answer 1

Maximum displacement will be when person to diagonally opposite point from any vertex.

length of diagonal of square of side 'a' = $\sqrt{2}$a

here a = 10m

max. displacement = $\sqrt{2}$ × 10 ≅ 14.14