Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A car moves along a straight road with uniform acceleration. It goes through points $A$, $B$ and $C$. At point $A$, the car has velocity $14\,\text{m s}^{-1}$. The two sections $AB$ and $BC$ are equal in length. The times needed to travel along $AB$ and $BC$ are $5\,\text{s}$ and $3\,\text{s}$ respectively.
(i)[4]
Write down a formula for the distance $AB$ in terms of the car’s acceleration. Write down a matching formula for the distance $AC$. Hence show that the car’s acceleration is $4\,\text{m s}^{-2}$.
(ii)[2]
Find the car’s speed as it passes point $C$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Distance of $AB$ is given by $s_{AB} = 14\times 5 + \tfrac12 a \times 5^2$” …