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

We have a square so it is obvious that all sides are equal.. Therefore the max displacement is considered to be the diagonal of the square... Using Pythagoras theorem we can find the length of diagonal as angle between two sides is 90 degree.. Answer maybe 100root2

Answer 2

Given,

The length of each side of the square field is 100m.

To find,

The maximum displacement possible in that square field.

Solution,

We can easily solve this mathematical problem by using the following mathematical process.

Now, the displacement is the straight linear distance between two points. And the longest linear length in any square is it's diagonal.

So, if a person moves through the diagonal of that field then he will achieve the maximum displacement.

Length of diagonal = √2×100 = 100√2 metres

Hence, maximum displacement will be of 100√2 metres.