(i)[5]
Calculate the greatest speed of $P$.
(ii)[3]
Demonstrate that $P$ cannot reach $O$.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A light elastic string, with natural length $0.8\,\text{m}$ and modulus of elasticity $50\,\text{N}$, has one end fixed at point $O$. A particle $P$ of mass $0.4\,\text{kg}$ is attached to the other end. $P$ is projected vertically downwards at speed $1.5\,\text{m s}^{-1}$ from a point $0.82\,\text{m}$ below $O$.