| Exam Board | WJEC |
|---|---|
| Module | Unit 2 (Unit 2) |
| Year | 2018 |
| Session | June |
| Marks | 12 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Travel graphs |
| Type | Multi-stage motion with all parameters given |
| Difficulty | Moderate -0.8 This is a straightforward kinematics question using constant acceleration (SUVAT) equations and velocity-time graphs. Part (a) requires basic distance calculation with constant speed then uniform deceleration. Parts (b-d) involve standard applications of kinematic equations and graph sketching with no conceptual challenges—purely routine mechanics that any competent A-level student should handle with practiced technique. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02c Interpret kinematic graphs: gradient and area3.02d Constant acceleration: SUVAT formulae |
A vehicle moves along a straight horizontal road. Points $A$ and $B$ lie on the road. As the vehicle passes point $A$, it is moving with constant speed 15 ms$^{-1}$. It travels with this constant speed for 2 minutes before a constant deceleration is applied for 12 seconds so that it comes to rest at point $B$.
\begin{enumerate}[label=(\alph*)]
\item Find the distance $AB$. [3]
\end{enumerate}
The vehicle then reverses with a constant acceleration of 2 ms$^{-2}$ for 8 seconds, followed by a constant deceleration of 1·6 ms$^{-2}$, coming to rest at the point $C$, which is between $A$ and $B$.
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{1}
\item Calculate the time it takes for the vehicle to reverse from $B$ to $C$. [4]
\item Sketch a velocity-time graph for the motion of the vehicle. [3]
\item Determine the distance $AC$. [2]
\end{enumerate}
\hfill \mbox{\textit{WJEC Unit 2 2018 Q11 [12]}}