The velocity $(v)$ and time $(t)$ graph of a body in a straight line motion is shown in the figure. The point $S$ is at $t = 4.333 \; s$. The total distance covered by the body in $6 \; s$ is $....... \; m$.

$A$ train moves from one station to another in $2$ hours. Its speed-time graph during this motion is shown in the figure. The maximum acceleration during the journey is ............. $km\, h^{-2}$.

The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in $6 \, s$ are respectively:

The velocity-time graph of a body falling from rest under gravity and rebounding from a solid surface is represented by which of the following graphs?

Given below are two statements:
Statement $I:$ Area under velocity-time graph gives the displacement of the body in a given time.
Statement $II:$ Area under acceleration-time graph is equal to the change in velocity in the given time.
In the light of given statements, choose the correct answer from the options given below.

$A$ body moves with velocity $v = \ln x \, m/s$ where $x$ is its position. The net force acting on the body is zero at