AQA Paper 2 2019 June — Question 13 5 marks

Exam BoardAQA
ModulePaper 2 (Paper 2)
Year2019
SessionJune
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicWork done and energy
TypeProjectile energy - basic KE/PE calculation
DifficultyModerate -0.8 Part (a) is a standard derivation using either energy conservation or SUVAT equations that appears in every mechanics textbook. Part (b) requires substituting values and comparing to the theoretical result, then making a judgment—straightforward application with minimal problem-solving. This is easier than average A-level mechanics, being a routine 5-mark question testing basic understanding rather than any sophisticated reasoning.
Spec3.02h Motion under gravity: vector form6.02i Conservation of energy: mechanical energy principle6.02j Conservation with elastics: springs and strings

In a school experiment, a particle, of mass \(m\) kilograms, is released from rest at a point \(h\) metres above the ground. At the instant it reaches the ground, the particle has velocity \(v \text{ m s}^{-1}\)
  1. Show that $$v = \sqrt{2gh}$$ [2 marks]
  2. A student correctly used \(h = 18\) and measured \(v\) as 20 The student's teacher claims that the machine measuring the velocity must have been faulty. Determine if the teacher's claim is correct. Fully justify your answer. [3 marks]

Question 13:

AnswerMarks
13(a)States appropriate suvat equation
and clearly identifies
and
PI by v2 =02 +2gh
𝑠𝑠 = ℎ,𝑎𝑎 = 𝘨𝘨 𝑢𝑢 =0
AnswerMarks Guidance
OE1.1a M1
u =0 a = g s=h
v2 =02 +2gh
v= 2gh
Completes rigorous argument by
substituting key values and
rearranging correctly for
Must have used consiste𝑣𝑣nt signs
for s and a
AnswerMarks Guidance
AG2.1 R1

AnswerMarks Guidance
13(b)Substitutes two values in v = 2gh
to find the third value OE3.1b M1
𝘨𝘨 = 9.8
v = 2×9.8×18 = 18.8
18.8 < 20
Machine is faulty
Obtains correct third value
If finding v then accept AWRT 19
If finding g then accept AWRT 11
AnswerMarks Guidance
If finding h then accept AWRT 201.1b A1
Makes an appropriate comparison
for correct v, g or h and infers that
the teacher’s claim is correct. The
comparison can be implied in their
comment, eg the value of v is less
than 20
or
Makes an appropriate comparison
using g = 10 and infers that the
teacher’s claim is incorrect. Their
answer must be rounded to 20.
The comparison can be implied in
their comment, eg the value
AnswerMarks Guidance
matches the given value of v2.2b R1
Total5
QMarking Instructions AO
Question 13:
--- 13(a) ---
13(a) | States appropriate suvat equation
and clearly identifies
and
PI by v2 =02 +2gh
𝑠𝑠 = ℎ,𝑎𝑎 = 𝘨𝘨 𝑢𝑢 =0
OE | 1.1a | M1 | v2 =u2 +2as
u =0 a = g s=h
v2 =02 +2gh
v= 2gh
Completes rigorous argument by
substituting key values and
rearranging correctly for
Must have used consiste𝑣𝑣nt signs
for s and a
AG | 2.1 | R1
--- 13(b) ---
13(b) | Substitutes two values in v = 2gh
to find the third value OE | 3.1b | M1 | When and h = 18
𝘨𝘨 = 9.8
v = 2×9.8×18 = 18.8
18.8 < 20
Machine is faulty
Obtains correct third value
If finding v then accept AWRT 19
If finding g then accept AWRT 11
If finding h then accept AWRT 20 | 1.1b | A1
Makes an appropriate comparison
for correct v, g or h and infers that
the teacher’s claim is correct. The
comparison can be implied in their
comment, eg the value of v is less
than 20
or
Makes an appropriate comparison
using g = 10 and infers that the
teacher’s claim is incorrect. Their
answer must be rounded to 20.
The comparison can be implied in
their comment, eg the value
matches the given value of v | 2.2b | R1
Total | 5
Q | Marking Instructions | AO | Marks | Typical Solution
In a school experiment, a particle, of mass $m$ kilograms, is released from rest at a point $h$ metres above the ground.

At the instant it reaches the ground, the particle has velocity $v \text{ m s}^{-1}$

\begin{enumerate}[label=(\alph*)]
\item Show that
$$v = \sqrt{2gh}$$ [2 marks]

\item A student correctly used $h = 18$ and measured $v$ as 20

The student's teacher claims that the machine measuring the velocity must have been faulty.

Determine if the teacher's claim is correct.

Fully justify your answer. [3 marks]
\end{enumerate}

\hfill \mbox{\textit{AQA Paper 2 2019 Q13 [5]}}