AQA AS Paper 1 2024 June — Question 15 4 marks

Exam BoardAQA
ModuleAS Paper 1 (AS Paper 1)
Year2024
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicConstant acceleration (SUVAT)
TypeRead and interpret velocity-time graph
DifficultyModerate -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.
Spec3.02a Kinematics language: position, displacement, velocity, acceleration3.02c Interpret kinematic graphs: gradient and area

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}
  1. Find the total distance travelled by the particle over the 8 second period shown. [3 marks]
  2. 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]

Question 15:

AnswerMarks Guidance
15(a)Finds any area from the graph 3.1a
Area below axis = 6

Total distance travelled = 16.5m

Obtains a fully correct
expression for total area above
or below axis
AnswerMarks Guidance
PI by 4.51.1b A1
Obtains 16.5m
AnswerMarks Guidance
Condone missing units1.1b A1
Subtotal3
QMarking instructions AO

AnswerMarks
15(b)Obtains t >5
Ignore any upper bound of
inequality provided it is 8 or
more
AnswerMarks Guidance
Do not accept t ≥52.2a R1
Subtotal1
Question 15 Total4
QMarking 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]}}