Question
The displacement-time graph for two particles X and Y are straight lines making angles of 30° and 60° with the time axis. What is the ratio of the velocities of Y and X?

Answer

$\frac{\text{v}_\text{Y}}{\text{v}_\text{X}}=\frac{\tan60^\circ}{\tan30^\circ}$ $=\frac{\sqrt{3}}{\frac{1}{\sqrt{3}}}=3:1$

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