| Exam Board | SPS |
|---|---|
| Module | SPS SM Mechanics (SPS SM Mechanics) |
| Year | 2022 |
| Session | February |
| Marks | 9 |
| Topic | Projectiles |
| Type | Projection from elevated point - angle above horizontal |
| Difficulty | Standard +0.3 This is a standard projectile motion problem requiring application of SUVAT equations in 2D. Part (a) involves solving a quadratic equation for time, (b) is straightforward horizontal distance calculation, and (c) requires finding velocity components and angle. All techniques are routine for A-level mechanics with no novel problem-solving required, making it slightly easier than average. |
| Spec | 3.02h Motion under gravity: vector form3.02i Projectile motion: constant acceleration model |
\includegraphics{figure_13}
A golfer hits a ball from a point $A$ with a speed of $25\text{ms}^{-1}$ 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 $10\text{ms}^{-2}$.
The ball first lands at a point $B$ which is $4\text{m}$ 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}
\hfill \mbox{\textit{SPS SPS SM Mechanics 2022 Q13 [9]}}