Mathematics 9709 · AS & A Level · Probability

Probability — practice question

A particle $P$ with mass $0.4\,\text{kg}$ is connected to a fixed point $O$ by a light elastic string whose natural length is $0.5\,\text{m}$ and whose modulus of elasticity is $20\,\text{N}$. The particle $P$ is released from rest at $O$.
(i)[4]

Determine the greatest speed of $P$ during the motion that follows.

(ii)[3]

Determine how far below $O$ the point is where $P$ is at instantaneous rest.

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