| Exam Board | CAIE |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2013 |
| Session | November |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Vectors Introduction & 2D |
| Type | Relative velocity: find resultant velocity (magnitude and/or direction) |
| Difficulty | Moderate -0.5 This appears to be an incomplete question fragment showing only labels without the actual problem content. Based on the topic (Vectors Introduction & 2D) and module (M2 Mechanics), this would typically involve basic vector operations or kinematics. Without seeing the actual question, but given it's from an introductory vectors topic in M2, it would likely be a straightforward application of vector addition/subtraction or basic velocity problems, placing it slightly below average difficulty. |
| Answer | Marks | Guidance |
|---|---|---|
| \(OG(\text{arc}) = 0.6\sin(\pi/2)/(\pi/2)\) | B1 | \(0.38197...\) |
| \((0.6\pi + 2 \times 0.6)d\) | M1 | Moment equation |
| \(= 2 \times 0.6 \times 0 + 0.6\pi \times 0.382\) | A1 | |
| \(d = 0.233 \text{ m}\) | A1 | [4] |
| Answer | Marks | Guidance |
|---|---|---|
| \(\tan\theta = \frac{0.233}{0.6}\) | M1 | |
| \(\theta = 21.2° / 21.3°\) or \(0.371 \text{ radians}\) | A1ft | [2] |
**(i)**
$OG(\text{arc}) = 0.6\sin(\pi/2)/(\pi/2)$ | B1 | $0.38197...$
$(0.6\pi + 2 \times 0.6)d$ | M1 | Moment equation
$= 2 \times 0.6 \times 0 + 0.6\pi \times 0.382$ | A1 |
$d = 0.233 \text{ m}$ | A1 | [4] | $0.2333...$
**(ii)**
$\tan\theta = \frac{0.233}{0.6}$ | M1 |
$\theta = 21.2° / 21.3°$ or $0.371 \text{ radians}$ | A1ft | [2] | $\tan^{-1}(\text{cv}(i)/0.6)$ | [6]\includegraphics{figure_2}
\begin{enumerate}[label=(\alph*)]
\item
\begin{enumerate}[label=(\roman*)]
\item $C$
\item $C$ has velocity $\vec{v}$
\end{enumerate}
\end{enumerate}
\hfill \mbox{\textit{CAIE M2 2013 Q2}}