| Exam Board | AQA |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2012 |
| Session | January |
| Marks | 11 |
| Paper | Download PDF ↗ |
| Topic | Travel graphs |
| Type | Distance from velocity-time graph |
| Difficulty | Moderate -0.8 This is a straightforward M1 question testing basic understanding of velocity-time graphs. All parts involve standard procedures: finding areas under the graph (trapeziums/triangles), reading gradients, and applying definitions of average speed/velocity. No problem-solving insight required, just careful arithmetic and recall of standard formulas. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02c Interpret kinematic graphs: gradient and area3.02d Constant acceleration: SUVAT formulae |
3 The diagram shows a velocity-time graph for a train as it moves on a straight horizontal track for 50 seconds.\\
\includegraphics[max width=\textwidth, alt={}, center]{d42b2e88-74ea-486b-bb47-f512eb0c185d-3_620_1221_408_358}
\begin{enumerate}[label=(\alph*)]
\item Find the distance that the train moves in the first 28 seconds.
\item Calculate the total distance moved by the train during the 50 seconds.
\item Hence calculate the average speed of the train.
\item Find the displacement of the train from its initial position when it has been moving for 50 seconds.
\item Hence calculate the average velocity of the train.
\item Find the acceleration of the train in the first 18 seconds of its motion.
\end{enumerate}
\hfill \mbox{\textit{AQA M1 2012 Q3 [11]}}