| Exam Board | OCR |
|---|---|
| Module | H240/03 (Pure Mathematics and Mechanics) |
| Year | 2020 |
| Session | November |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Variable acceleration (vectors) |
| Type | Constant acceleration vector problems |
| Difficulty | Moderate -0.8 This is a straightforward kinematics question using constant acceleration formulas with vectors. Part (a) requires applying v = u + at and finding magnitude; part (b) uses s = ut + ½at². Both are direct applications of standard formulas with no problem-solving insight needed, making it easier than average but not trivial due to vector arithmetic. |
| Spec | 1.10h Vectors in kinematics: uniform acceleration in vector form3.02e Two-dimensional constant acceleration: with vectors |
A particle $P$ moves with constant acceleration $(-4\mathbf{i} + 2\mathbf{j})$ ms$^{-2}$. At time $t = 0$ seconds, $P$ is moving with velocity $(7\mathbf{i} + 6\mathbf{j})$ ms$^{-1}$.
\begin{enumerate}[label=(\alph*)]
\item Determine the speed of $P$ when $t = 3$. [4]
\item Determine the change in displacement of $P$ between $t = 0$ and $t = 3$. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR H240/03 2020 Q7 [6]}}