A particle of mass $M=0.2 \mathrm{~kg}$ is initially at rest in the $x y$-plane at a point $(x=-1, y=-h)$, where $\mathrm{I}=10 \mathrm{~m}$ and $\mathrm{h}=1 \mathrm{~m}$. The particle is accelerated at time $\mathrm{t}=0$ with a constant acceleration $\mathrm{a}=10 \mathrm{m} / \mathrm{s}^2$ along the positive x -direction. Its angular momentum and torque with respect to the origin, in SI units, are represented by $\vec{L}$ and $t$, respectively. $\hat{i} \hat{j}$ and $\hat{k}$ are unit vectors along the positive $x, y$ and z -directions, respectively. If $\hat{\mathrm{k}}=\hat{\mathrm{i}} \times \hat{\mathrm{j}}$ then which of the following statement(s) is(are) correct?