First slide
Instantaneous velocity
Question

The displacement time graphs of two moving particles 1 and 2 make angles of 30o and 45o with the x-axis. The ratio of velocity of 1 to that of 2 is.

Moderate
Solution

Velocity = Slope

\large \frac{{{v_1}}}{{{v_2}}} = \frac{{Tan{\theta _1}}}{{Tan{\theta _2}}} = \frac{{1/\sqrt 3 }}{1} = \frac{1}{{\sqrt 3 }}

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