(i)[2]
Determine the distance $AP$.
(ii)[3]
The particle $P$ is lifted to $A$ and let go from rest. Calculate the greatest speed of $P$ in the motion that follows.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A particle $P$ with mass $0.5\,\text{kg}$ is fixed to one end of a light elastic string whose modulus of elasticity is $24\,\text{N}$ and whose natural length is $0.6\,\text{m}$. The far end of the string is fastened to a stationary point $A$. In equilibrium, the particle $P$ is suspended vertically beneath $A$.
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This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Writes $5 = \frac{24e}{0.6}$, or an equivalent relation between extension and speed” …
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