| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2016 |
| Session | June |
| Marks | 13 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Projectiles |
| Type | Vector form projectile motion |
| Difficulty | Standard +0.3 This is a standard M2 projectile motion question using vector notation. Part (a) requires setting up position equations and solving a quadratic, which is routine. Parts (b)(i) and (b)(ii) involve finding velocity components and calculating speed/angle using standard formulas. All techniques are textbook exercises with no novel problem-solving required, making it slightly easier than average. |
| Spec | 1.10c Magnitude and direction: of vectors3.02h Motion under gravity: vector form3.02i Projectile motion: constant acceleration model |
6. [In this question, $\mathbf { i }$ is a horizontal unit vector and $\mathbf { j }$ is an upward vertical unit vector.]
A particle $P$ is projected from a fixed origin $O$ with velocity ( $3 \mathbf { i } + 4 \mathbf { j }$ ) $\mathrm { m } \mathrm { s } ^ { - 1 }$. The particle moves freely under gravity and passes through the point $A$ with position vector $\lambda ( \mathbf { i } - \mathbf { j } ) \mathrm { m }$, where $\lambda$ is a positive constant.
\begin{enumerate}[label=(\alph*)]
\item Find the value of $\lambda$.
\item Find
\begin{enumerate}[label=(\roman*)]
\item the speed of $P$ at the instant when it passes through $A$,
\item the direction of motion of $P$ at the instant when it passes through $A$.\\
HMAV SIHI NITIIIUM ION OC\\
VILV SIHI NI JAHM ION OC\\
VJ4V SIHI NI JIIYM ION OC
\begin{center}
\end{center}
\end{enumerate}\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 2016 Q6 [13]}}