Question

A particle is moving such that its position coordinates $(x,y)$ are
$(2m,3m)$ at time $t=0$,
$(6m,7m)$ at time $t=2s$ and
$(13m,14m)$ at time $t=5s$.
Average velocity vector $\left({\overrightarrow{V}}_{av}\right)$ from $t=0$ to $t=5s$ is:

• A. $\frac{1}{5}(13\hat{i}+14\hat{j})$
• B. $\frac{7}{3}(\hat{i}+\hat{j})$
• C. $2(\hat{i}-\hat{j})$
• D. $\frac{11}{5}(\hat{i}+\hat{j})$

Answer 1

The correct option is D $\frac{11}{5}(\hat{i}+\hat{j})$

${\overrightarrow{r}}_l=2\hat{i}+3\hat{j}$
${\overrightarrow{r}}_f=13\hat{i}+14\hat{j}$
$\overrightarrow{s}=11\hat{i}+11\hat{j}$
$<\overrightarrow{v}>=\frac{11\hat{i}+11\hat{j}}{5}$