Question

Two straight lines drawn on the same displacement-time graph makes angle ${30}^o$ and ${60}^o$with time axis respectively. Which line represents greater velocity? what is the ratio of the two velocities?

Answer 1

Since the slope of the displacement - time graph of uniform motion in one dimension represents the velocity of the object, hence the line showing greater slope in graph corresponds to greater velocity of the object .

Therefore OB represents greater velocity .

Ratio of two velocities

$\frac{{\upsilon }_A}{{\upsilon }_B}$ = $\frac{tan30°}{tan60°}$

=$\frac{\frac{1}{\sqrt{3}}}{\sqrt{3}}$

= $\frac{1}{3}$