$A$ particle shows a distance-time curve as given in the figure. The maximum instantaneous velocity of the particle is around the point:

The following figures show velocity $v$ versus time $t$ curves. But only some of these can be realized in a particle. These are:

The $x-t$ graph of a particle moving along a straight line is shown in the figure. The distance-time graph of the particle is correctly shown by:

The velocity $v$ of a particle is given by the equation $v = 6t^2 - 6t^3$,where $v$ is in $m/s$ and $t$ is time in $s$. Then:

The relation $3t = \sqrt{3x} + 6$ describes the displacement of a particle in one direction,where $x$ is in $m$ and $t$ is in $s$. The displacement,when velocity is zero,is ......... $m$.

The positions of two cars $A$ and $B$ are given by $X_A = at + bt^2$ and $X_B = ft - t^2$. At what time will both cars have the same velocity?