The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by :

The velocity-displacement graph of a particle is shown in the figure.

The acceleration-displacement graph of the same particle is represented by :

The projectile motion of a particle of mass $5 \mathrm{g}$ is shown in the figure.

The initial velocity of the particle is $5\sqrt{2}{ \mathrm{ms}}^{-1}$ and the air resistance is assumed to be negligible. The magnitude of the change in momentum between the points $A$ and $B$ is $x\times {10}^{-2} {\mathrm{kgms}}^{-1}$. The value of $x$, to the nearest integer, is ___ .

If the velocity-time graph has the shape $\mathrm{AMB},$ what would be the shape of the corresponding acceleration-time graph?

In an octagon $ABCDEFGH$ of equal side, what is the sum of $\overrightarrow{AB}+\overrightarrow{AC}+\overrightarrow{AD}+\overrightarrow{AE}+\overrightarrow{AF}+\overrightarrow{AG}+\overrightarrow{AH},$ if, $\overrightarrow{\mathrm{AO}}=2\hat{\mathrm{i}}+3\hat{\mathrm{j}}-4\hat{\mathrm{k}}$