Physics - Vectors Question with Solution | TestHub

Using the equation of motion $\vec{v}=\vec{u}+\vec{a}t$

Substituting the given values:

$\vec{v}=(3\hat{i}+2\hat{j})+(5\hat{i}+3\hat{j})\times 5$

$\vec{v}=(3\hat{i}+2\hat{j})+(25\hat{i}+15\hat{j})$

$\vec{v}=28\hat{i}+17\hat{j}$ m/s

The magnitude of the final velocity is:

$|\vec{v}|=\sqrt{28^2+17^2}$

$|\vec{v}|=\sqrt{784+289}$

$|\vec{v}|=\sqrt{1073}$ m/s

Answer: $\sqrt{1073}$