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

Kinematics of motion in a straight line — practice question

A particle $P$ starts from rest at a point on a smooth plane that is inclined at $30^\circ$ to the horizontal. Find the speed of $P$.
(i)[2]

Find the speed after it has moved $0.9\,\text{m}$.

(ii)[2]

Find the speed $0.8\,\text{s}$ after release.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply $v^2 = 2as$ with $a = g\sin 30^\circ$ and $s = 0.9$, or use $\tfrac12 mv^2 = mgh$

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