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

The velocity-time graph for a particle moving in a straight line is shown in the figure. The average velocity between $t=4 \,s$ and $t=6 \,s$ is . . . . . . (in $\,ms^{-1}$)

The position-time $(x-t)$ graph for positive acceleration is

Let us define a motion as $A$ when velocity is positive and increasing,$A^{-1}$ when velocity is negative and increasing,$R$ when velocity is positive and decreasing,and $R^{-1}$ when velocity is negative and decreasing. Now,match the following two columns for the given $s-t$ graph.

Column $I$	Column $II$
$(A)$ $M$	$(p)$ $A^{-1}$
$(B)$ $N$	$(q)$ $R^{-1}$
$(C)$ $P$	$(r)$ $A$
$(D)$ $Q$	$(s)$ $R$

The variation of velocity of a particle moving along a straight line with time is illustrated in the following figure. The distance travelled by the particle in $4 \, s$ is: (in $, m$)