AQA Paper 2 2021 June — Question 13 3 marks

Exam BoardAQA
ModulePaper 2 (Paper 2)
Year2021
SessionJune
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicConstant acceleration (SUVAT)
TypeSUVAT single equation: straightforward find
DifficultyModerate -0.8 This is a straightforward two-step problem: use a SUVAT equation (v² = u² + 2as) to find acceleration, then apply F = ma. Both are standard procedures with no conceptual difficulty or problem-solving required, making it easier than average but not trivial since it requires correct equation selection and two-step execution.
Spec1.02d Quadratic functions: graphs and discriminant conditions3.02c Interpret kinematic graphs: gradient and area3.03c Newton's second law: F=ma one dimension

13 A vehicle, of total mass 1200 kg , is travelling along a straight, horizontal road at a constant speed of \(13 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) This vehicle begins to accelerate at a constant rate.
After 40 metres it reaches a speed of \(17 \mathrm {~ms} ^ { - 1 }\) Find the resultant force acting on the vehicle during the period of acceleration.

Question 13:
AnswerMarks Guidance
Answer/WorkingMark Guidance
\(v^2 = u^2 + 2as\); \(289 = 169 + 80a \Rightarrow a = 1.5\)M1 (AO3.1b) Selects constant acceleration equation; must substitute at least two values correctly
\(a = 1.5\)A1 (AO1.1b) PI by correct \(F\)
\(F = ma = 1200 \times 1.5 = 1800\text{ N}\)B1F (AO1.1b) Substitutes \(a\) into \(F=ma\); condone missing or incorrect units
## Question 13:

| Answer/Working | Mark | Guidance |
|---|---|---|
| $v^2 = u^2 + 2as$; $289 = 169 + 80a \Rightarrow a = 1.5$ | M1 (AO3.1b) | Selects constant acceleration equation; must substitute at least two values correctly |
| $a = 1.5$ | A1 (AO1.1b) | PI by correct $F$ |
| $F = ma = 1200 \times 1.5 = 1800\text{ N}$ | B1F (AO1.1b) | Substitutes $a$ into $F=ma$; condone missing or incorrect units |

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13 A vehicle, of total mass 1200 kg , is travelling along a straight, horizontal road at a constant speed of $13 \mathrm {~m} \mathrm {~s} ^ { - 1 }$

This vehicle begins to accelerate at a constant rate.\\
After 40 metres it reaches a speed of $17 \mathrm {~ms} ^ { - 1 }$\\
Find the resultant force acting on the vehicle during the period of acceleration.\\

\hfill \mbox{\textit{AQA Paper 2 2021 Q13 [3]}}