Question

QU! The displacement time graphs of two moving particles make angles of 30' and 45°
With the x axis. The ratio of their velocities is ---

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Answer 1

The velocities are given by the slopes of the displacement - time graph. Hence,

$\displaystyle\longrightarrow\sf {\dfrac {v_1}{v_2}=\dfrac {\tan 30^{\circ}}{\tan 45^{\circ}}}$

$\displaystyle\longrightarrow\sf {\underline {\underline {\dfrac {v_1}{v_2}=\dfrac {1}{\sqrt3}}}}$