Mathematics 9709 · AS & A Level · Probability

Probability — practice question

A particle $P$ with mass $0.4\,\text{kg}$ is connected to one end of a light elastic string whose natural length is $1.2\,\text{m}$ and modulus of elasticity $19.2\,\text{N}$. The other end of the string is fixed at point $A$. Particle $P$ is released from rest at a point $2.7\,\text{m}$ vertically above $A$. Calculate
(i)[3]

particle $P$’s initial acceleration.

(ii)[4]

the speed of $P$ when it reaches $A$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: $T=19.2\times\dfrac{(2.7-1.2)}{1.2}$

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