Question

If Rajesh moves along a circular path from point $A(0,0)$ as shown in the figure and reaches diametrically opposite point $B(10,0)$, what is his displacement vector? Given: radius of circle is $5\text{m}$.

• A. $0$
• B. $10\hat{i}+10\hat{j}$
• C. $10\hat{i}$
• D. $10\hat{j}$

Answer 1

The correct option is C $10\hat{i}$

The displacement vector is the difference between the position vector of the final point ($B$ here) and the initial point ($A$ here).
So, $\overrightarrow{r_B}=(10\hat{i}+0\hat{j})$ and $\overrightarrow{r_A}=(0\hat{i}+0\hat{j})$
Hence, displacement vector
${\overrightarrow{V}}_{dis}=\overrightarrow{r_B}-\overrightarrow{r_A}=(10\hat{i}+0\hat{j})-(0\hat{i}+0\hat{j})=10\hat{i}$