Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line

Kinematics of motion in a straight line — practice question

A particle with mass $0.8\text{ kg}$ is launched at a speed of $12\text{ m s}^{-1}$ up the line of greatest slope on a rough plane inclined at $10^\circ$ to the horizontal. The coefficient of friction between the particle and the plane is $0.4$.
(i)[4]

Find the particle’s acceleration.

(ii)[2]

Find how far the particle travels up the plane before it comes to rest.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Hence, $R = 0.8g \cos 10$

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