| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2017 |
| Session | June |
| Marks | 11 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Projectiles |
| Type | Two projectiles meeting - 2D flight |
| Difficulty | Challenging +1.2 This is a standard M2 projectiles collision problem requiring systematic application of SUVAT equations in 2D. Students must equate horizontal and vertical positions at t=2s to find θ and q, then use velocity components to find speed. While it involves multiple steps (6 marks typical), the approach is methodical with no novel insight required—slightly above average due to the algebraic manipulation and two-projectile setup. |
| Spec | 3.02h Motion under gravity: vector form3.02i Projectile motion: constant acceleration model |
6.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{64b0abc9-4021-44e6-8bf7-1a5862617085-20_248_1063_260_443}
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\caption{Figure 4}
\end{center}
\end{figure}
The points $A$ and $B$ lie 40 m apart on horizontal ground. At time $t = 0$ the particles $P$ and $Q$ are projected in the vertical plane containing $A B$ and move freely under gravity. Particle $P$ is projected from $A$ with speed $30 \mathrm {~ms} ^ { - 1 }$ at $60 ^ { \circ }$ to $A B$ and particle $Q$ is projected from $B$ with speed $q \mathrm {~m} \mathrm {~s} ^ { - 1 }$ at angle $\theta$ to $B A$, as shown in Figure 4.
At $t = 2$ seconds, $P$ and $Q$ collide.
\begin{enumerate}[label=(\alph*)]
\item Find
\begin{enumerate}[label=(\roman*)]
\item the size of angle $\theta$,
\item the value of $q$.
\end{enumerate}\item Find the speed of $P$ at the instant before it collides with $Q$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 2017 Q6 [11]}}