AQA AS Paper 1 2021 June — Question 12 4 marks

Exam BoardAQA
ModuleAS Paper 1 (AS Paper 1)
Year2021
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSUVAT in 2D & Gravity
TypeParticle motion: 2D constant acceleration
DifficultyEasy -1.2 This is a straightforward mechanics question requiring only basic vector magnitude calculation, constant acceleration formula (v=u+at), and Newton's second law (F=ma). All three parts are direct applications of standard formulas with no problem-solving insight needed, making it easier than average for A-level.
Spec1.10c Magnitude and direction: of vectors3.02d Constant acceleration: SUVAT formulae3.03c Newton's second law: F=ma one dimension

A particle P lies at rest on a smooth horizontal table. A constant resultant force, F newtons, is then applied to P. As a result P moves in a straight line with constant acceleration \(\begin{bmatrix}8\\6\end{bmatrix}\) m s⁻²
  1. Show that the magnitude of the acceleration of P is 10 m s⁻² [1 mark]
  2. Find the speed of P after 3 seconds. [1 mark]
  3. Given that \(\mathbf{F} = \begin{bmatrix}2\\1.5\end{bmatrix}\) N, find the mass of P. [2 marks]

Question 12:

AnswerMarks Guidance
12(a)Uses Pythagoras to show given
magnitude AG1.1b B1
�8 +6 = 10
AnswerMarks Guidance
Subtotal1
QMarking instructions AO

AnswerMarks
12(b)Uses appropriate suvat equation
with given values to find correct
speed value condone missing
AnswerMarks Guidance
units1.1b B1
so
𝑢𝑢 = 0 𝑎𝑎 = 10, 𝑡𝑡 = m3 s–1
𝑣𝑣 = 0+(3)(10)= 30
AnswerMarks Guidance
Subtotal1
QMarking instructions AO

AnswerMarks
12(c)Uses F = ma, using magnitude
of force with magnitude of
acceleration or in vector form
AnswerMarks Guidance
PI by correct answer3.4 M1
�22.5+ =1 .5 ×= 102 .5
0𝑚𝑚.25 kg
𝑚𝑚 =
Finds correct mass condone
AnswerMarks Guidance
missing units1.1b A1
Subtotal2
Question Total4
QMarking instructions AO
Question 12:
--- 12(a) ---
12(a) | Uses Pythagoras to show given
magnitude AG | 1.1b | B1 | 2 2
�8 +6 = 10
Subtotal | 1
Q | Marking instructions | AO | Marks | Typical solution
--- 12(b) ---
12(b) | Uses appropriate suvat equation
with given values to find correct
speed value condone missing
units | 1.1b | B1 | ,
so
𝑢𝑢 = 0 𝑎𝑎 = 10, 𝑡𝑡 = m3 s–1
𝑣𝑣 = 0+(3)(10)= 30
Subtotal | 1
Q | Marking instructions | AO | Marks | Typical solution
--- 12(c) ---
12(c) | Uses F = ma, using magnitude
of force with magnitude of
acceleration or in vector form
PI by correct answer | 3.4 | M1 | 2 2
�22.5+ =1 .5 ×= 102 .5
0𝑚𝑚.25 kg
𝑚𝑚 =
Finds correct mass condone
missing units | 1.1b | A1
Subtotal | 2
Question Total | 4
Q | Marking instructions | AO | Marks | Typical solution
A particle P lies at rest on a smooth horizontal table.

A constant resultant force, F newtons, is then applied to P.

As a result P moves in a straight line with constant acceleration $\begin{bmatrix}8\\6\end{bmatrix}$ m s⁻²

\begin{enumerate}[label=(\alph*)]
\item Show that the magnitude of the acceleration of P is 10 m s⁻²
[1 mark]

\item Find the speed of P after 3 seconds.
[1 mark]

\item Given that $\mathbf{F} = \begin{bmatrix}2\\1.5\end{bmatrix}$ N, find the mass of P.
[2 marks]
\end{enumerate}

\hfill \mbox{\textit{AQA AS Paper 1 2021 Q12 [4]}}