Question

a person walks around the side of a square field of side 100 M what is the maximum magnitude of displacement of person in any time interval

Answer 1

Displacement is a vector quantity and its magnitude is the shortest distance between the initial position and the final position. As the person can move along only the sides of the square field so the maximum magnitude of the displacement will be the length of the diagonal of the square field.
The length of the diagonal of a square is given as:
d2=l2+l2⇒d=2l2−−−√=2√l=2√×100=141.4 m