Question

​A particle is starting from rest travels a distance 'x' in the first 2 seconds and a distance of 'y' in the next 2 seconds, then what is the relation between x and y ?

Answer 1

Dear Student,

since the time period is same
$$\begin{gathered} velocityforx,v=x/2 \\ velocityforydis\tan cev\text{'}=y/2 \\ averagevelocity=\frac{x+y}{4} \\ andtheaverageoftwo=\frac{v+v\text{'}}{2}willbeequalasthetimeintervalaresame. \\ butwecannotfindtherelationbetweenxandybecausetheyareindepedenttoeachother. \\ Regards \end{gathered}$$