The velocity $(v)$-time $(t)$ graph for a particle moving along the $x$-axis is shown in the figure. The corresponding position $(x)$-time $(t)$ graph is best represented by:

$A$ rigid ball rolls without slipping on a surface shown below: Which one of the following is the most likely representation of the distance travelled by the ball versus time graph?

The following plots show the variation of velocity $(v)$ with time $(t)$ for a ball thrown vertically upward and falling back. Which of the following plots is correct?

The figure shows a velocity-time graph of a particle moving along a straight line. The total distance travelled by the particle is ........ $m$.

The velocity-time $(v-t)$ graph for a moving object is shown in the figure. The total displacement of the object during the time interval when there is non-zero acceleration and retardation is ........ $m$.

Refer to the graph in figure. Match the following:

Graph	Characteristics
$(A)$	$(i)$ has $v > 0$ and $a < 0$ throughout
$(B)$	$(ii)$ has $x > 0$ throughout and has a point with $v = 0$ and a point with $a = 0$
$(C)$	$(iii)$ has a point with zero displacement for $t > 0$
$(D)$	$(iv)$ has $v < 0$ and $a > 0$