| Exam Board | OCR MEI |
|---|---|
| Module | AS Paper 1 (AS Paper 1) |
| Year | 2022 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Variable acceleration (1D) |
| Type | Maximum or minimum velocity |
| Difficulty | Easy -1.2 This is a straightforward mechanics question requiring only basic algebraic manipulation (solving a quadratic equation for part a) and reading from a graph or finding the maximum of a quadratic function (part b). Both parts are routine applications of standard techniques with no problem-solving insight required, making it easier than average for A-level. |
| Spec | 1.02f Solve quadratic equations: including in a function of unknown3.02b Kinematic graphs: displacement-time and velocity-time |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(v = -t^2 + 6t - 6 = 2\) | M1 | Use \(v=2\) to form and attempt to solve a quadratic equation. May be implied by both correct roots |
| \(t = 2, 4\) s | A1 | Both values required |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(6 \text{ ms}^{-1}\) | B1 | cao |
## Question 3:
### Part (a):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $v = -t^2 + 6t - 6 = 2$ | M1 | Use $v=2$ to form and attempt to solve a quadratic equation. May be implied by both correct roots |
| $t = 2, 4$ s | A1 | Both values required |
### Part (b):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $6 \text{ ms}^{-1}$ | B1 | cao |
---3 The velocity-time graph for the motion of a particle is shown below. The velocity $v \mathrm {~ms} ^ { - 1 }$ at time $t \mathrm {~s}$ is given by $\mathrm { v } = - \mathrm { t } ^ { 2 } + 6 \mathrm { t } - 6$ where $0 \leqslant t \leqslant 5$.\\
\includegraphics[max width=\textwidth, alt={}, center]{7af62e61-c67f-4d05-b6b9-c1a110345812-3_860_979_1082_239}
\begin{enumerate}[label=(\alph*)]
\item Find the times at which the velocity is $2 \mathrm {~ms} ^ { - 1 }$.
\item Write down the greatest speed of the particle.
\end{enumerate}
\hfill \mbox{\textit{OCR MEI AS Paper 1 2022 Q3 [3]}}