Representation of data — practice question

Particle $P$ has mass $0.2\,\text{kg}$ and is launched horizontally from a fixed point $O$ on a smooth horizontal surface. If the displacement of $P$ from $O$ is $x\,\text{m}$, then its velocity is $v\,\text{m}\,\text{s}^{-1}$. A horizontal force of variable magnitude $0.09vx\,\text{N}$, acting away from $O$, acts on $P$. A further force of constant magnitude $0.3\,\text{N}$, acting towards $O$, also acts on $P$.