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

Kinematics of motion in a straight line — practice question

A particle of mass $0.5\,\text{kg}$ is released from rest and moves down the line of greatest slope on a smooth plane. The plane is set at an angle of $30^\circ$ to the horizontal.
(i)[3]

Find the length of time needed for the particle to attain a speed of $2.5\,\text{m s}^{-1}$.

(ii)[3]

Find the distance the particle covers along the ground before it stops.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Obtain $a = g\sin30 = 5$

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