| Exam Board | AQA |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2012 |
| Session | January |
| Marks | 15 |
| Paper | Download PDF ↗ |
| Topic | Constant acceleration (SUVAT) |
| Type | Particle on inclined plane |
| Difficulty | Standard +0.3 This is a straightforward M1 question combining standard SUVAT equations with basic force resolution on an incline. Parts (a) and (b) are routine calculations, while parts (c) and (d) require resolving forces parallel to the slope—a standard M1 technique. The multi-part structure and inclusion of a modeling criticism elevate it slightly above average, but all components are textbook exercises requiring no novel insight. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.03c Newton's second law: F=ma one dimension |
6 A cyclist freewheels, with a constant acceleration, in a straight line down a slope. As the cyclist moves 50 metres, his speed increases from $4 \mathrm {~ms} ^ { - 1 }$ to $10 \mathrm {~ms} ^ { - 1 }$.
\begin{enumerate}[label=(\alph*)]
\item \begin{enumerate}[label=(\roman*)]
\item Find the acceleration of the cyclist.
\item Find the time that it takes the cyclist to travel this distance.
\end{enumerate}\item The cyclist has a mass of 70 kg . Calculate the magnitude of the resultant force acting on the cyclist.
\item The slope is inclined at an angle $\alpha$ to the horizontal.
\begin{enumerate}[label=(\roman*)]
\item Find $\alpha$ if it is assumed that there is no resistance force acting on the cyclist.
\item Find $\alpha$ if it is assumed that there is a constant resistance force of magnitude 30 newtons acting on the cyclist.
\end{enumerate}\item Make a criticism of the assumption described in part (c)(ii).
\end{enumerate}
\hfill \mbox{\textit{AQA M1 2012 Q6 [15]}}