(i)[3]
Show that the particle has acceleration $-6\,\text{m s}^{-2}$.
(ii)[2]
Given that the particle starts with speed $5.4\,\text{m s}^{-1}$, find how far it travels up the plane.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle travels upwards along the line of greatest slope on a rough plane inclined at angle $\alpha$ to the horizontal, where $\sin \alpha = 0.28$. The coefficient of friction between the particle and the plane is $\frac{1}{3}$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply Newton’s second law in the direction of the plane, allowing for friction: $[-(1\div3)(W\cos\alpha)-W\sin\alpha=(W/g)a]$” …
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