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The displacement-time graphs of two moving particles make angles of $30^{\circ}$ and $45^{\circ}$ with the x-axis as shown in the figure. The ratio of their respective velocity is: [add image]
Explanation
$V = ds/dt$ = slope of s - t curve = $\tan \theta$ $V_{80}^{\circ}/V_{45}^{\circ} = \tan 30^{\circ}/\tan 45^{\circ} = 1/\sqrt{3}$
