| Exam Board | OCR MEI |
|---|---|
| Module | AS Paper 1 (AS Paper 1) |
| Year | 2018 |
| Session | June |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Constant acceleration (SUVAT) |
| Type | Multi-phase journey: find unknown speed or time |
| Difficulty | Standard +0.3 This is a structured multi-part kinematics question with clear scaffolding. Parts (i)-(iv) involve standard SUVAT calculations and basic integration to find displacement. Parts (v)-(vi) require conceptual understanding of how changing the velocity model affects the graph, but no complex calculations. The question guides students through each step with minimal problem-solving required beyond applying standard techniques. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02c Interpret kinematic graphs: gradient and area3.02d Constant acceleration: SUVAT formulae |
I appreciate your request, but the content you've provided appears to be a template or placeholder structure without any actual mark scheme content to clean up. The sections show:
- Question 10 divided into parts (i) through (vi)
- No actual marking criteria, point allocations, or guidance notes
- No unicode symbols or mathematical notation to convert
To help you effectively, I would need the actual mark scheme content for Question 10, including:
- The marking points (M1, A1, B1, etc.)
- The criteria or answers being marked
- Any relevant mathematical notation or symbols
- Guidance notes or additional instructions
Could you please provide the full, unformatted mark scheme content for Question 10?10 Rory runs a distance of 45 m in 12.5 s . He starts from rest and accelerates to a speed of $4 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. He runs the remaining distance at $4 \mathrm {~ms} ^ { - 1 }$.
Rory proposes a model in which the acceleration is constant until time $T$ seconds.\\
(i) Sketch the velocity-time graph for Rory's run using this model.\\
(ii) Calculate $T$.\\
(iii) Find an expression for Rory's displacement at time $t \mathrm {~s}$ for $0 \leqslant t \leqslant T$.\\
(iv) Use this model to find the time taken for Rory to run the first 4 m .
Rory proposes a refined model in which the velocity during the acceleration phase is a quadratic function of $t$. The graph of Rory's quadratic goes through $( 0,0 )$ and has its maximum point at $( S , 4 )$. In this model the acceleration phase lasts until time $S$ seconds, after which the velocity is constant.\\
(v) Sketch a velocity-time graph that represents Rory's run using this refined model.\\
(vi) State with a reason whether $S$ is greater than $T$ or less than $T$. (You are not required to calculate the value of $S$.)
\hfill \mbox{\textit{OCR MEI AS Paper 1 2018 Q10 [9]}}