| Exam Board | AQA |
|---|---|
| Module | AS Paper 1 (AS Paper 1) |
| Year | 2021 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Travel graphs |
| Type | Model refinement or criticism |
| Difficulty | Easy -1.2 Part (a) is a straightforward area-under-graph calculation requiring trapezium/triangle areas from a velocity-time graph—standard AS mechanics with no conceptual challenge. Part (b) tests basic understanding that real acceleration changes smoothly, requiring only a sketch with rounded corners rather than sharp vertices. Both parts are routine applications well below average A-level difficulty. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02c Interpret kinematic graphs: gradient and area |
| Answer | Marks | Guidance |
|---|---|---|
| 13(a) | Finds any area either above or | |
| below the axis | 3.1b | M1 |
| Answer | Marks | Guidance |
|---|---|---|
| PI | 1.1b | A1 |
| Answer | Marks | Guidance |
|---|---|---|
| condone missing units | 1.1b | A1 |
| Subtotal | 3 | |
| Q | Marking instructions | AO |
| Answer | Marks |
|---|---|
| 13(b) | Sketches a curve at the end = |
| Answer | Marks | Guidance |
|---|---|---|
| 𝑡𝑡 | 3.5c | B1 |
| Answer | Marks | Guidance |
|---|---|---|
| 𝑡𝑡 | 3.5c | B1 |
| Subtotal | 2 | |
| Question Total | 5 | |
| Q | Marking instructions | AO |
Question 13:
--- 13(a) ---
13(a) | Finds any area either above or
below the axis | 3.1b | M1 | Area above =
1
= 252
�2�(12)(10+32)
Area below = = 52
1
�2�(13)(8)
= 252 – 52 = 200 m
𝑟𝑟
Obtains correct values of area
above or area below the axis
PI | 1.1b | A1
Obtains correct displacement
condone missing units | 1.1b | A1
Subtotal | 3
Q | Marking instructions | AO | Marks | Typical solution
--- 13(b) ---
13(b) | Sketches a curve at the end =
0 correctly
𝑡𝑡 | 3.5c | B1
Sketches a curve at the end =
10 correctly
𝑡𝑡 | 3.5c | B1
Subtotal | 2
Question Total | 5
Q | Marking instructions | AO | Marks | Typical solutionA car, initially at rest, is driven along a straight horizontal road.
The graph below is a simple model of how the car's velocity, $v$ metres per second, changes with respect to time, $t$ seconds.
\includegraphics{figure_13}
\begin{enumerate}[label=(\alph*)]
\item Find the displacement of the car when $t = 45$
[3 marks]
\item Shona says:
"This model is too simple. It is unrealistic to assume that the car will instantaneously change its acceleration."
On the axes below sketch a graph, for the first 10 seconds of the journey, which would represent a more realistic model.
[2 marks]
\includegraphics{figure_13b}
\end{enumerate}
\hfill \mbox{\textit{AQA AS Paper 1 2021 Q13 [5]}}