| Exam Board | OCR MEI |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2006 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Travel graphs |
| Type | Distance from velocity-time graph |
| Difficulty | Easy -1.3 This is a straightforward velocity-time graph question requiring basic recall: reading values from a graph, calculating acceleration as gradient, and finding distance as area under the graph. All three parts use standard M1 techniques with no problem-solving or novel insight required—simpler than typical multi-step questions. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time |
1 A particle travels in a straight line during the time interval $0 \leqslant t \leqslant 12$, where $t$ is the time in seconds. Fig. 1 is the velocity-time graph for the motion.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{19d42df9-e752-4d33-85e1-4ec59b32135a-2_455_874_484_593}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{center}
\end{figure}
(i) Calculate the acceleration of the particle in the interval $0 < t < 6$.\\
(ii) Calculate the distance travelled by the particle from $t = 0$ to $t = 4$.\\
(iii) When $t = 0$ the particle is at A . Calculate how close the particle gets to A during the interval $4 \leqslant t \leqslant 12$.
\hfill \mbox{\textit{OCR MEI M1 2006 Q1 [6]}}