AQA AS Paper 1 2023 June — Question 14 4 marks

Exam BoardAQA
ModuleAS Paper 1 (AS Paper 1)
Year2023
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSUVAT in 2D & Gravity
TypeModelling assumptions and limitations
DifficultyModerate -0.3 This is a straightforward mechanics question requiring application of SUVAT equations with constant acceleration. Part (a) involves substituting known values into s = ut + ½at² and solving algebraically—routine for AS-level mechanics. Part (b) requires only qualitative reasoning about air resistance reducing acceleration. The question is slightly easier than average due to its standard structure and the 'show that' format which provides the target answer.
Spec3.02h Motion under gravity: vector form

A ball, initially at rest, is dropped from a vertical height of \(h\) metres above the Earth's surface. After 4 seconds the ball's height above the Earth's surface is \(0.2h\) metres.
  1. Assuming air resistance can be ignored, show that $$h = 10g$$ [3 marks]
  2. Assuming air resistance cannot be ignored, explain the effect that this would have on the value of \(h\) in part (a). [1 mark]

Question 14:

AnswerMarks
14(a)Selects an appropriate equation
of constant acceleration.
and
states u = 0 , t = 4 and a = g
AnswerMarks Guidance
PI by correct substitution1.1a M1
s = ut + at2
2
u = 0 , t = 4 and a = g
1
0.8h = g × 42
2
0.8h = 8g
h = 10g
AnswerMarks Guidance
Substitutes s = 0.8h1.1a M1
Completes reasoned argument
AnswerMarks Guidance
to obtain given answer2.1 R1
Subtotal3
QMarking instructions AO

AnswerMarks Guidance
14(b)Explains that h will be less 3.5a
lower
AnswerMarks Guidance
Subtotal1
Question 14 Total4
QMarking instructions AO
Question 14:
--- 14(a) ---
14(a) | Selects an appropriate equation
of constant acceleration.
and
states u = 0 , t = 4 and a = g
PI by correct substitution | 1.1a | M1 | 1
s = ut + at2
2
u = 0 , t = 4 and a = g
1
0.8h = g × 42
2
0.8h = 8g
h = 10g
Substitutes s = 0.8h | 1.1a | M1
Completes reasoned argument
to obtain given answer | 2.1 | R1
Subtotal | 3
Q | Marking instructions | AO | Marks | Typical solution
--- 14(b) ---
14(b) | Explains that h will be less | 3.5a | E1 | Air resistance will cause h to be
lower
Subtotal | 1
Question 14 Total | 4
Q | Marking instructions | AO | Marks | Typical solution
A ball, initially at rest, is dropped from a vertical height of $h$ metres above the Earth's surface.

After 4 seconds the ball's height above the Earth's surface is $0.2h$ metres.

\begin{enumerate}[label=(\alph*)]
\item Assuming air resistance can be ignored, show that
$$h = 10g$$
[3 marks]

\item Assuming air resistance cannot be ignored, explain the effect that this would have on the value of $h$ in part (a).
[1 mark]
\end{enumerate}

\hfill \mbox{\textit{AQA AS Paper 1 2023 Q14 [4]}}