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

Kinematics of motion in a straight line — practice question

A particle $P$ travels along the straight line $ABCD$ with uniform acceleration. The lengths $AB$ and $BC$ are $100\,\text{m}$ and $148\,\text{m}$, respectively. It takes the particle $4\,\text{s}$ to move from $A$ to $B$ and another $4\,\text{s}$ to move from $B$ to $C$.
(i)[6]

Show that $P$'s acceleration is $3\,\text{m s}^{-2}$, and determine the speed of $P$ at $A$.

(ii)[3]

$P$ arrives at $D$ with speed $61\,\text{m s}^{-1}$. Determine $CD$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply constant-acceleration equations involving any two of $u,v,w,a$

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