Probability — practice question

A particle $P$ with mass $0.2\,\text{kg}$ is fastened to one end of a light elastic string whose natural length is $0.8\,\text{m}$ and whose modulus of elasticity is $64\,\text{N}$. The opposite end of the string is fixed at point $A$ on a smooth horizontal surface. Particle $P$ is positioned on the surface at a point $0.8\,\text{m}$ from $A$. It is then given a speed of $10\,\text{m s}^{-1}$ in a direction directly away from $A$.