. The displacement -time graph of two particles A and B are straight l

1.	. The displacement -time graph of two particles A and B are straight lines at angles of 30 degree and 45 degree with the time axis. Then ratio of their velocities is _________________
Answer» $\large{\bf{\gray{\underline{\underline{\orange{Given:}}}}}}$ The displacement-time (s-t) graph of two particles A and B are STRAIGHT lines inclined at ANGLES of 30° and 45° with the time axis. $\large{\bf{\gray{\underline{\underline{\green{To\:Find:}}}}}}$ We have to find ratio of their velocities. $\large{\bf{\gray{\underline{\underline{\pink{Solution:}}}}}}$ ➢ We KNOW that, Slope of displacement-time (s-t) graph GIVES velocity. $\dag\:\boxed{\bf{\red{velocity(v)=tan\Theta=\dfrac{\Delta s}{\Delta t}}}}$ Let's CALCULATE :D $:\implies\tt\:\dfrac{v_A}{v_B}=\dfrac{tan30\degree}{tan45\degree}$ $:\implies\tt\:\dfrac{v_A}{v_B}=\dfrac{1}{\sqrt{3}\times 1}$ $:\implies\boxed{\bf{\purple{v_A:v_B=1:\sqrt{3}}}}$