In the figure shown, the two projectiles are | vedclass

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Question

Talking origin at a and $x$ axis along $A B$ Velocity of $A$ $w.r.t.$ $B$ $=20 \sqrt{3}(\cos 60 \hat{i}+\sin 60 \hat{j})-20(\cos 150 \hat{i}+\sin 150

Vedclass · Accepted Answer

$10$

Vedclass · Answer

Talking origin at a and $x$ axis along $A B$ Velocity of $A$ $w.r.t.$ $B$ $=20 \sqrt{3}(\cos 60 \hat{i}+\sin 60 \hat{j})-20(\cos 150 \hat{i}+\sin 150 \hat{j})$

$=20 \sqrt{3}\left(\frac{1}{2} \hat{i}+\frac{\sqrt{3}}{2} \hat{j}ight)-20\left(-\frac{\sqrt{3}}{2} \hat{i}+\frac{1}{2} \hat{j}ight)=20 \sqrt{3} \hat{i}+20 \hat{j}$

$	an 	heta=\frac{20}{20 \sqrt{3}}=\frac{1}{\sqrt{3}} \Rightarrow 	heta=30^{\circ}$

so $\frac{d_{\min }}{20}=\sin 	heta=\sin 30^{\circ}=\frac{1}{2} \Rightarrow d_{\min }=10 \mathrm{m}$

In the figure shown, the two projectiles are fired simultaneously. The minimum distance between them during their flight is ........ $m$

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