| Exam Board | OCR |
|---|---|
| Module | H240/03 (Pure Mathematics and Mechanics) |
| Year | 2021 |
| Session | November |
| Marks | 10 |
| Paper | Download PDF ↗ |
| Topic | Projectiles |
| Type | Projection from elevated point - angle above horizontal |
| Difficulty | Standard +0.3 This is a standard projectile motion question requiring application of SUVAT equations in 2D. Parts (a)-(c) involve routine calculations with given initial conditions, while part (d) requires basic understanding of modeling assumptions. Slightly easier than average due to straightforward setup and standard techniques. |
| Spec | 3.02i Projectile motion: constant acceleration model |
\includegraphics{figure_11}
A golfer hits a ball from a point $A$ with a speed of 25 m s$^{-1}$ at an angle of 15° above the horizontal. While the ball is in the air, it is modelled as a particle moving under the influence of gravity. Take the acceleration due to gravity to be 10 m s$^{-2}$.
The ball first lands at a point $B$ which is 4 m below the level of $A$ (see diagram).
\begin{enumerate}[label=(\alph*)]
\item Determine the time taken for the ball to travel from $A$ to $B$. [3]
\item Determine the horizontal distance of $B$ from $A$. [2]
\item Determine the direction of motion of the ball 1.5 seconds after the golfer hits the ball. [4]
\end{enumerate}
The horizontal distance from $A$ to $B$ is found to be greater than the answer to part (b).
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{3}
\item State one factor that could account for this difference. [1]
\end{enumerate}
\hfill \mbox{\textit{OCR H240/03 2021 Q11 [10]}}