Representation of data — practice question

$O$ and $A$ are fixed points on a horizontal surface, where $OA = 0.5\,\text{m}$. Particle $P$, of mass $0.2\,\text{kg}$, is projected horizontally from $A$ along $OA$ with speed $3\,\text{m s}^{-1}$ and travels in a straight line (see diagram). After $t\,\text{s}$, the velocity of $P$ is $v\,\text{m s}^{-1}$ and its displacement from $O$ is $x\,\text{m}$. The coefficient of friction between the surface and $P$ is $0.5$, and a force of magnitude $\frac{0.4}{x^2}\,\text{N}$ acts on $P$ in the direction $PO$.