Question

A man walks $8m$ towards East and then $6m$ towards North. His magnitude of displacement is equal to :

• A. $10m$
• B. $14m$
• C. $2m$
• D. $Zero$

Answer 1

The correct option is A $10m$

$\text{Step 1: Displacement Vector [Ref Fig.1]}$

Displacement of the man is given by

$\overrightarrow{S}=8\hat{i}+6\hat{j}m$

$\text{Step 2: Resultant calculation [Ref. Fig. 2]}$

$|\overrightarrow{S}|=\sqrt{x^2+y^2}$

$=\sqrt{8^2+6^2}=10m$

$|\overrightarrow{S}|=10m$

Hence magnitude of displacement is $10m$, Option(A) is correct.