| Exam Board | OCR |
|---|---|
| Module | M1 (Mechanics 1) |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Travel graphs |
| Type | Motion on inclined plane |
| Difficulty | Standard +0.3 This is a standard M1 kinematics problem using SUVAT equations with constant acceleration. Part (i) requires setting up two simultaneous equations from s=ut+½at² for two time intervals, which is routine but involves some algebraic manipulation. Part (ii) simply applies a=g sin α once acceleration is found. The problem is slightly above average difficulty due to the two-stage calculation and careful handling of cumulative distances, but remains a textbook exercise with no novel insight required. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.03g Gravitational acceleration |
A particle moves downwards on a smooth plane inclined at an angle $\alpha$ to the horizontal. The particle passes through the point $P$ with speed $u$ m s$^{-1}$. The particle travels $2$ m during the first $0.8$ s after passing through $P$, then a further $6$ m in the next $1.2$ s. Find
\begin{enumerate}[label=(\roman*)]
\item the value of $u$ and the acceleration of the particle, [7]
\item the value of $\alpha$ in degrees. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR M1 Q4 [9]}}