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  4. The displacement-time graph for two particles A and B is as follows. The ratio (VA/VB) is

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Q. The displacement-time graph for two particles $A$ and $B$ is as follows. The ratio $\frac{V_{A}}{V_{B}}$ isPhysics Question Image

Motion in a Straight Line

Solution:

The slope of line $A$ is $\tan 30^{\circ}$ and $B=\tan 60^{\circ}$
$\frac{v_{A}}{v_{B}}=\frac{\tan 30^{\circ}}{\tan 60^{\circ}}=\frac{\frac{1}{\sqrt{3}}}{\sqrt{3}}=\frac{1}{3}$
$\Rightarrow v_{A}: v_{B}=1: 3$

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