| Exam Board | Edexcel |
|---|---|
| Module | M4 (Mechanics 4) |
| Session | Specimen |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Vectors Introduction & 2D |
| Type | River crossing: reach point directly opposite (find angle and/or time) |
| Difficulty | Moderate -0.3 This is a standard relative velocity problem requiring vector resolution to find the swimming angle and time. While it involves two parts and requires understanding of velocity triangles, it's a textbook M4 exercise with straightforward application of Pythagoras and trigonometry—slightly easier than average due to its routine nature and clear setup. |
| Spec | 1.10h Vectors in kinematics: uniform acceleration in vector form |
\includegraphics{figure_1}
A girl swims in still water at 1 m s$^{-1}$. She swims across a river which is 336 m wide and is flowing at 0.6 m s$^{-1}$. She sets off from a point $A$ on one bank and lands at a point $B$, which is directly opposite $A$, on the other bank as shown in Fig. 1. Find
\begin{enumerate}[label=(\alph*)]
\item the direction, relative to the earth, in which she swims,
[3]
\item the time that she takes to cross the river.
[3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M4 Q2 [6]}}