Mathematics 9709 · AS & A Level · Probability

Probability — practice question

One end of a light elastic string with natural length $0.8\,\text{m}$ and modulus of elasticity $24\,\text{N}$ is fixed at point $O$. Its other end is connected to a particle $P$ of mass $0.3\,\text{kg}$. $P$ is projected vertically upwards with speed $4\,\text{m s}^{-1}$ from a point $1.2\,\text{m}$ vertically below $O$.
(i)[5]

Calculate the speed of the particle at the point where its acceleration is zero.

(ii)[3]

Show that the particle travels $1.2\,\text{m}$ while it is moving upwards with constant deceleration.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies $T = \frac{\lambda x}{L}$ to reach $0.3g = 24e$

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