Question

A person walks along the sides of a square field. Each side is 100m long . What is the maximum magnitude of displacement of the person in any time interval?

Answer 1

m

like if it starts from A corner then the maximum displacement will be when he at C corner.
$h {}^{2} = p {}^{2} + b {}^{2} \\ h {}^{2} = 100 {}^{2} + 100 {}^{2} \\ h {}^{2} = 20000 \\ \sqrt{h {}^{2} } = \sqrt{20000} \\ h = \sqrt{2 \times 10000} \\ h = 100 \sqrt{2} m$