Question

A person moves 30 root 3 m towards towards north 20m Earthand finally 10 root 3 m towards south the magnitude of displacement of person from the origin is

Answer 1

Dear student,

It is given that a person moves 30√3 m towards towards north, 20 m towards east and finally 10√3 m towards south. We need to find the magnitude of displacement of person from the origin.

Let the displacement be 's'. Then, we have;

                s = 30√3 i + 20 j - 10√3i

                s = 20 j + 20√3 i

              |s| = √20² + (20√3)²

              |s| = √400 + 1200

              |s| = √1600

             |s| = 40

Hence, the magnitude of the displacement is 40 m.