The acceleration of a particle moving in a straight line varies with velocity$\left(v\right)$ as $a=(1-v)$ $\mathrm{m} {\mathrm{s}}^{-2}$, where $v$ is in $\mathrm{m} {\mathrm{s}}^{-1}$. If initially the particle was at rest, then

A particle starts moving along$\mathrm{x}$-axis from origin with initial velocity of $3 \mathrm{m} {\mathrm{s}}^{-1}$. The acceleration a of the particle varies with position $\mathrm{x}$ as $\mathrm{a}={\mathrm{Kx}}^2$, where $\mathrm{K}$ is a constant. At $\mathrm{x}=\sqrt{3} \mathrm{m}$, the tangent to the graph makes an angle of $60°$ with $\mathrm{x}$-axis. Then at $\mathrm{x}=\sqrt{3} \mathrm{m}$ ( $\mathrm{v}$ represents velocity of particle at position $\mathrm{x}$ )

For the $v-t$ graph shown in figure match the following columns.