Question

The displacement$\left(s\right)$ and time$\left(t\right)$ graphs for two moving objects $A$ and $B$ are straight lines inclined at ${30}^{\circ }$ with the time axis and ${30}^{\circ }$ with the displacement axis respectively. Then, what would be their velocity ratio?

• A. $\frac{1}{3}$
• B. $\frac{1}{2}$
• C. $\frac{1}{4}$
• D. $2$

Answer 1

The correct option is A $\frac{1}{3}$

Velocity =>
Slope of Displacement V/s Time graph
$=\tan \theta$
$v_A=\tan {30}^{\circ }$ ... (1)
$v_B=\tan {60}^{\circ }$ ... (2)
$\frac{v_A}{v_B}=\frac{\frac{1}{\sqrt{3}}}{\sqrt{3}}$
$\frac{v_A}{v_B}=\frac{1}{3}$