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

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Aicharya · Accepted Answer

$\begin{aligned} & 	ext{Here, } \vec{u}=2 \hat{i}+3 \hat{j}, \ & \vec{a}=0.3 \hat{i}+0.2 \hat{j}, t=10 	ext{s}, \ & 	ext{As } \bar{v}=\bar{u}+\vec{a} t, \ & \bar{v}=(2 \hat{i}+3 \hat{j})+(0.3 \hat{i}+0.2 \hat{j})(10), \ & =2 \hat{i}+3 \hat{j}+3 \hat{i}+2 \hat{j}=5 \hat{i}+5 \hat{j}, \ & |\vec{v}|=\sqrt{(5)^2+(5)^2}, \ & =5 \sqrt{2} 	ext{ units}. \end{aligned}$

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

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