| Exam Board | WJEC |
|---|---|
| Module | Unit 4 (Unit 4) |
| Year | 2018 |
| Session | June |
| Marks | 10 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Projectiles |
| Type | Two projectiles meeting - 2D flight |
| Difficulty | Standard +0.8 Part (a) is a standard projectile range calculation using R = (u²sin2α)/g. Part (b) requires setting up simultaneous equations for two projectiles moving towards each other with a time delay, then solving for collision position and height—this involves more sophisticated problem-solving and algebraic manipulation than typical projectile questions, elevating it above average difficulty. |
| Spec | 3.02h Motion under gravity: vector form3.02i Projectile motion: constant acceleration model |
Points $A$ and $B$ lie on horizontal ground. At time $t = 0$ seconds, an object $P$ is projected from $A$ towards $B$ such that $AB$ is the range of $P$. The speed of projection is $24 \cdot 5$ ms$^{-1}$ in a direction which is 30° above the horizontal.
\begin{enumerate}[label=(\alph*)]
\item Calculate the range $AB$ of the object $P$. [5]
\end{enumerate}
At time $t = 1$ second, another object $Q$ is projected from $B$ towards $A$ with the same speed of projection $24 \cdot 5$ ms$^{-1}$ and in a direction which is also 30° above the horizontal.
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{1}
\item Determine the height above the ground at which $P$ and $Q$ collide. [5]
\end{enumerate}
\hfill \mbox{\textit{WJEC Unit 4 2018 Q9 [10]}}