| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2002 |
| Session | November |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Variable acceleration (vectors) |
| Type | Constant acceleration vector problems |
| Difficulty | Moderate -0.8 This is a straightforward application of F=ma with vector components, requiring only basic manipulation (dividing force by mass, then using v=u+at). Both parts are routine calculations with no problem-solving insight needed, making it easier than average but not trivial since it involves vector arithmetic and magnitude calculation. |
| Spec | 1.10a Vectors in 2D: i,j notation and column vectors1.10c Magnitude and direction: of vectors3.03c Newton's second law: F=ma one dimension |
2. A particle $P$ of mass 1.5 kg is moving under the action of a constant force ( $3 \mathbf { i } - 7.5 \mathbf { j }$ ) N. Initially $P$ has velocity $( 2 \mathbf { i } + 3 \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 1 }$. Find
\begin{enumerate}[label=(\alph*)]
\item the magnitude of the acceleration of $P$,
\item the velocity of $P$, in terms of $\mathbf { i }$ and $\mathbf { j }$, when $P$ has been moving for 4 seconds.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2002 Q2 [7]}}