Two buses $P$ and $Q$ start from a point at the same time and move in a straight line and their positions are represented by $X _{ P }( t )=\alpha t +\beta t ^{2}$ and $X _{ Q }( t )= ft - t ^{2}$. At what time, both the buses have same velocity $?$
Acceleration versus velocity graph of a particle moving in a straight line starting from rest is as shown in figure. The corresponding velocity-time graph would be
Let $v$ and a denote the velocity and acceleration respectively of a particle in the dimensional motion