| Exam Board | AQA |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2006 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | SUVAT in 2D & Gravity |
| Type | Free fall: time or distance |
| Difficulty | Easy -1.2 This is a straightforward SUVAT application with direct substitution into standard equations (s = ut + ½at², then average speed = distance/time). Part (c) requires stating a standard modelling assumption (neglecting air resistance). All three parts are routine recall with minimal problem-solving, making it easier than average but not trivial since it requires correct equation selection and units. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.03g Gravitational acceleration |
| Answer | Marks | Guidance |
|---|---|---|
| Working | Marks | Guidance |
| \(s = 0 + \frac{1}{2} \times 9.8 \times 4^2\) | M1, A1 | Full method; correct subs, accept \(\pm 9.8\) |
| \(s = 78.4\) metres | A1 | CAO (need positive) |
| Answer | Marks | Guidance |
|---|---|---|
| Working | Marks | Guidance |
| Average speed \(= \frac{78.4}{4}\) | M1 | Also accept full method with velocities at \(t=0\) and \(4\), or at \(t=2\) |
| \(= 19.6 \text{ ms}^{-1}\) | A1F | FT distance |
| Answer | Marks | Guidance |
|---|---|---|
| Working | Marks | Guidance |
| Only force acting is weight | B1 | Acc resistance forces negligible or ignored (not friction, or air friction) |
## Question 1:
### Part (a)
| Working | Marks | Guidance |
|---------|-------|----------|
| $s = 0 + \frac{1}{2} \times 9.8 \times 4^2$ | M1, A1 | Full method; correct subs, accept $\pm 9.8$ |
| $s = 78.4$ metres | A1 | CAO (need positive) | **Total: 3** |
### Part (b)
| Working | Marks | Guidance |
|---------|-------|----------|
| Average speed $= \frac{78.4}{4}$ | M1 | Also accept full method with velocities at $t=0$ and $4$, or at $t=2$ |
| $= 19.6 \text{ ms}^{-1}$ | A1F | FT distance | **Total: 2** |
### Part (c)
| Working | Marks | Guidance |
|---------|-------|----------|
| Only force acting is weight | B1 | Acc resistance forces negligible or ignored (not friction, or air friction) | **Total: 1** |
---1 A stone is dropped from a high bridge and falls vertically.
\begin{enumerate}[label=(\alph*)]
\item Find the distance that the stone falls during the first 4 seconds of its motion.
\item Find the average speed of the stone during the first 4 seconds of its motion.
\item State one modelling assumption that you have made about the forces acting on the stone during the motion.
\end{enumerate}
\hfill \mbox{\textit{AQA M1 2006 Q1 [6]}}