| Exam Board | OCR MEI |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2010 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Travel graphs |
| Type | Displacement-time graph interpretation or sketching |
| Difficulty | Easy -1.2 This is a straightforward displacement-time graph interpretation question requiring only basic gradient calculations and understanding that velocity = gradient. All three parts involve routine recall of definitions with no problem-solving or novel insight needed. |
| Spec | 3.02a Kinematics language: position, displacement, velocity, acceleration3.02b Kinematic graphs: displacement-time and velocity-time |
1 A ring is moving up and down a vertical pole. The displacement, $s \mathrm {~m}$, of the ring above a mark on the pole is modelled by the displacement-time graph shown in Fig. 1. The three sections of the graph are straight lines.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{eafaf02f-bcd4-4368-a282-61ef1ad074da-2_766_1065_500_539}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{center}
\end{figure}
\begin{enumerate}[label=(\roman*)]
\item Calculate the velocity of the ring in the interval $0 < t < 2$ and in the interval $2 < t < 3.5$.
\item Sketch a velocity-time graph for the motion of the ring during the 4 seconds.
\item State the direction of motion of the ring when\\
(A) $t = 1$,\\
(B) $t = 2.75$,\\
(C) $t = 3.25$.
\end{enumerate}
\hfill \mbox{\textit{OCR MEI M1 2010 Q1 [5]}}