| Exam Board | AQA |
|---|---|
| Module | AS Paper 1 (AS Paper 1) |
| Year | 2024 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Constant acceleration (SUVAT) |
| Type | Read and interpret velocity-time graph |
| Difficulty | Moderate -0.8 This is a straightforward kinematics question requiring students to find areas under a velocity-time graph (trapezium rule or counting squares) and understand the basic distinction between distance and displacement. Part (a) is routine calculation, part (b) tests conceptual understanding but only requires identifying when the particle changes direction (when v crosses zero). Below average difficulty for AS-level. |
| Spec | 3.02a Kinematics language: position, displacement, velocity, acceleration3.02c Interpret kinematic graphs: gradient and area |
| Answer | Marks | Guidance |
|---|---|---|
| 15(a) | Finds any area from the graph | 3.1a |
Total distance travelled = 16.5m
| Answer | Marks | Guidance |
|---|---|---|
| PI by 4.5 | 1.1b | A1 |
| Answer | Marks | Guidance |
|---|---|---|
| Condone missing units | 1.1b | A1 |
| Subtotal | 3 | |
| Q | Marking instructions | AO |
| Answer | Marks |
|---|---|
| 15(b) | Obtains t >5 |
| Answer | Marks | Guidance |
|---|---|---|
| Do not accept t ≥5 | 2.2a | R1 |
| Subtotal | 1 | |
| Question 15 Total | 4 | |
| Q | Marking instructions | AO |
Question 15:
--- 15(a) ---
15(a) | Finds any area from the graph | 3.1a | M1 | Area above axis = 10.5
Area below axis = 6
Total distance travelled = 16.5m
Obtains a fully correct
expression for total area above
or below axis
PI by 4.5 | 1.1b | A1
Obtains 16.5m
Condone missing units | 1.1b | A1
Subtotal | 3
Q | Marking instructions | AO | Marks | Typical solution
--- 15(b) ---
15(b) | Obtains t >5
Ignore any upper bound of
inequality provided it is 8 or
more
Do not accept t ≥5 | 2.2a | R1 | t >5
Subtotal | 1
Question 15 Total | 4
Q | Marking instructions | AO | Marks | Typical solution
A graph indicating how the velocity, $v$ m s$^{-1}$, of a particle changes with respect to time, $t$ seconds, is shown below.
\includegraphics{figure_15}
\begin{enumerate}[label=(\alph*)]
\item Find the total distance travelled by the particle over the 8 second period shown.
[3 marks]
\item A student claims that
"The displacement of the particle is less than the distance travelled."
State the range of values of $t$ for which this claim is true.
[1 mark]
\end{enumerate}
\hfill \mbox{\textit{AQA AS Paper 1 2024 Q15 [4]}}