| Exam Board | AQA |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2012 |
| Session | June |
| Marks | 11 |
| Paper | Download PDF ↗ |
| Topic | SUVAT in 2D & Gravity |
| Type | Particle motion: 2D constant acceleration |
| Difficulty | Standard +0.3 This is a standard M1 SUVAT question in 2D requiring application of kinematic equations in vector form. Part (a) is routine integration/formula application, part (b) requires setting the j-component to zero, and part (c) needs recognizing that south-east means equal i and j velocity components. While multi-step, all techniques are standard M1 fare with no novel insight required, making it slightly easier than average overall. |
| Spec | 3.02h Motion under gravity: vector form3.02i Projectile motion: constant acceleration model |
7 A particle moves with a constant acceleration of $( 0.1 \mathbf { i } - 0.2 \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 2 }$. It is initially at the origin where it has velocity $( - \mathbf { i } + 3 \mathbf { j } ) \mathrm { ms } ^ { - 1 }$. The unit vectors $\mathbf { i }$ and $\mathbf { j }$ are directed east and north respectively.
\begin{enumerate}[label=(\alph*)]
\item Find an expression for the position vector of the particle $t$ seconds after it has left the origin.
\item Find the time that it takes for the particle to reach the point where it is due east of the origin.
\item Find the speed of the particle when it is travelling south-east.
\end{enumerate}
\hfill \mbox{\textit{AQA M1 2012 Q7 [11]}}