A particle has initial velocity $(2 \hat{i}+3 \hat{j})$ and acceleration $(0.3 \hat{i}+0.2 \hat{j})$

Question

A particle has initial velocity $(2 \hat{i}+3 \hat{j})$ and acceleration $(0.3 \hat{i}+0.2 \hat{j})$. The magnitude of velocity after 10 seconds will be\

Professor PC Thomas Classes · Answer

(b): Here, $\vec{u}=2 \hat{i}+3 \hat{j}, \vec{a}=0.3 \hat{i}+0.2 \hat{j}, t=10 \mathrm{~s}$ As $\vec{v}=\vec{u}+\vec{a} t$\ $	herefore \quad \vec{v}=(2 \hat{i}+3 \hat{j})+(0.3 \hat{i}+0.2 \hat{j})(10)=2 \hat{i}+3 \hat{j}+3 \hat{i}+2 \hat{j}=5 \hat{i}+5 \hat{j}$\ $|\vec{v}|=\sqrt{(5)^{2}+(5)^{2}}=5 \sqrt{2}$ units\