• # question_answer On the displacement-time graph, two straight lines make angles $60{}^\circ$ and $30{}^\circ$, with time axis as shown in the figure. The ratio of the velocities represented by them is A)  1 : 2                           B)  1 : 3                           C)  2 : 1                           D)  3 : 1

Velocity given by $OA=\tan {{60}^{o}}=\sqrt{3}\,m/s$ Velocity given by $AB={{\tan }^{{{30}^{o}}}}=-\frac{1}{\sqrt{3}}\,m/s$ Required ratio$=\frac{\sqrt{3}}{1/\sqrt{3}}=3:1$ Hence, the correction option is [d].