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Determine $a$ and $u$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A car travels along a straight path with starting speed $u\,\mathrm{m\,s^{-1}}$ and uniform acceleration $a\,\mathrm{m\,s^{-2}}$. It needs $5\,\mathrm{s}$ to cover the initial $80\,\mathrm{m}$ and $8\,\mathrm{s}$ to cover the initial $160\,\mathrm{m}$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Set up correct kinematics equations with $s = ut + \tfrac{1}{2}at^2$ or an equivalent form (for example $80 = 5u + 12.5a$, $160 = 8u + 32a$)” …
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