| Exam Board | AQA |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2012 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Topic | Vectors Introduction & 2D |
| Type | Relative velocity: find resultant velocity (magnitude and/or direction) |
| Difficulty | Moderate -0.8 This is a straightforward 2D vector addition problem requiring only Pythagoras and basic trigonometry to find magnitude and direction. It's a standard M1 relative velocity question with perpendicular components, making calculations simple. No problem-solving insight needed—just direct application of routine techniques. |
| Spec | 1.10c Magnitude and direction: of vectors3.02e Two-dimensional constant acceleration: with vectors |
1 As a boat moves, it travels at $5 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ due north, relative to the water. The water is moving due west at $2 \mathrm {~ms} ^ { - 1 }$.
\begin{enumerate}[label=(\alph*)]
\item Find the magnitude of the resultant velocity of the boat.
\item Find the bearing of the resultant velocity of the boat.
\end{enumerate}
\hfill \mbox{\textit{AQA M1 2012 Q1 [5]}}