| Exam Board | OCR MEI |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2008 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Travel graphs |
| Type | Velocity-time graph sketching |
| Difficulty | Easy -1.3 This is a straightforward kinematics question requiring only basic understanding of velocity-time graphs and area-under-graph calculations. The motion has simple constant accelerations in three phases with all values given directly, requiring no algebraic manipulation or problem-solving insight—purely routine application of standard M1 techniques. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02c Interpret kinematic graphs: gradient and area |
A cyclist starts from rest and takes 10 seconds to accelerate at a constant rate up to a speed of 15 m s$^{-1}$. After travelling at this speed for 20 seconds, the cyclist then decelerates to rest at a constant rate over the next 5 seconds.
\begin{enumerate}[label=(\roman*)]
\item Sketch a velocity-time graph for the motion. [3]
\item Calculate the distance travelled by the cyclist. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI M1 2008 Q1 [6]}}