| Exam Board | AQA |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2006 |
| Session | January |
| 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 question requiring direct application of kinematic equations with constant acceleration. Part (a) involves standard one-step calculations (s=ut+½at² and v²=u²+2as with u=0), while part (b) tests conceptual understanding of air resistance. The calculations are routine and the physics is basic, making this easier than average for A-level. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.02h Motion under gravity: vector form |
| Answer | Marks | Guidance |
|---|---|---|
| Working | Marks | Guidance |
| \(s = ut + \frac{1}{2}at^2\) | ||
| \(25 = 0 + 4.9t^2\) | M1 | full method |
| \(t = 2.26 \text{ sec}\) (2.236 if \(g=10\)), (2.259) | A1 | Total: 2 |
| Answer | Marks | Guidance |
|---|---|---|
| Working | Marks | Guidance |
| \(v^2 = u^2 + 2as\) | ||
| \(v^2 = 0 + 2 \times 9.8 \times 25\) | M1 | |
| \(v = 22.1 \text{ ms}^{-1}\) (21.913), (22.14) | A1 | Total: 2 |
| Answer | Marks | Guidance |
|---|---|---|
| Working | Marks | Guidance |
| (Time longer) air resistance slows down motion, links with motion, no contradictions | M1, A1 | Total: 2 |
## Question 3:
### Part (a)(i)
| Working | Marks | Guidance |
|---------|-------|----------|
| $s = ut + \frac{1}{2}at^2$ | | |
| $25 = 0 + 4.9t^2$ | M1 | full method |
| $t = 2.26 \text{ sec}$ (2.236 if $g=10$), (2.259) | A1 | Total: 2 | |
### Part (a)(ii)
| Working | Marks | Guidance |
|---------|-------|----------|
| $v^2 = u^2 + 2as$ | | |
| $v^2 = 0 + 2 \times 9.8 \times 25$ | M1 | |
| $v = 22.1 \text{ ms}^{-1}$ (21.913), (22.14) | A1 | Total: 2 | |
### Part (b)
| Working | Marks | Guidance |
|---------|-------|----------|
| (Time longer) air resistance slows down motion, links with motion, no contradictions | M1, A1 | Total: 2 | (or Time less) package large so less distance to travel |
---3
\begin{enumerate}[label=(\alph*)]
\item A small stone is dropped from a height of 25 metres above the ground.
\begin{enumerate}[label=(\roman*)]
\item Find the time taken for the stone to reach the ground.
\item Find the speed of the stone as it reaches the ground.
\end{enumerate}\item A large package is dropped from the same height as the stone. Explain briefly why the time taken for the package to reach the ground is likely to be different from that for the stone.\\
(2 marks)
\end{enumerate}
\hfill \mbox{\textit{AQA M1 2006 Q3 [6]}}