| Exam Board | CAIE |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2015 |
| Session | June |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Projectiles |
| Type | Projection from elevated point - angle above horizontal |
| Difficulty | Moderate -0.3 This is a straightforward projectile motion problem requiring standard SUVAT equations applied to horizontal and vertical components. Part (i) involves resolving initial velocity, finding final velocity components using v = u + at, then combining them—routine mechanics. Part (ii) uses s = ut + ½at² with known values. While it requires careful calculation and component resolution, it follows standard textbook methods with no problem-solving insight needed, making it slightly easier than average. |
| Spec | 3.02i Projectile motion: constant acceleration model |
\includegraphics{figure_4}
A small ball $B$ is projected from a point $O$ above horizontal ground, with initial speed $15$ m s$^{-1}$ at an angle of projection of $30°$ above the horizontal (see diagram). The ball strikes the ground $3$ s after projection.
\begin{enumerate}[label=(\roman*)]
\item Calculate the speed and direction of motion of the ball immediately before it strikes the ground. [5]
\item Find the height of $O$ above the ground. [2]
\end{enumerate}
\hfill \mbox{\textit{CAIE M2 2015 Q4 [7]}}