| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2011 |
| Session | January |
| Marks | 10 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Constant acceleration (SUVAT) |
| Type | Multi-phase journey: find unknown speed or time |
| Difficulty | Moderate -0.8 This is a straightforward SUVAT problem requiring a speed-time graph sketch and using the trapezium area formula to find v. The setup is clear, the algebra is simple (linear equation), and it's a standard M1 exercise with no conceptual challenges beyond basic kinematics. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02c Interpret kinematic graphs: gradient and area3.02d Constant acceleration: SUVAT formulae |
| Answer | Marks | Guidance |
|---|---|---|
| Part | Answer/Working | Marks |
| (a)(i) | 1st section correct | B1 |
| 2nd & 3rd sections correct | B1 | |
| Numbers and v marked correctly on the axes | DB1 | (3 marks) |
| (ii) | 1st section correct | B1 |
| 2nd section correct | B1 | |
| 3rd section correct and no "extras" on the sketch | B1 | (3 marks) |
| (b) | \(\frac{70 + 40}{2} \times v = 880\) | M1 A1 |
| \(v = 880 \times \frac{2}{110} = 16\) | DM1 A1 | (4 marks) |
| [10 marks total] |
| **Part** | **Answer/Working** | **Marks** | **Guidance** |
|----------|-------------------|----------|-------------|
| (a)(i) | 1st section correct | B1 | |
| | 2nd & 3rd sections correct | B1 | |
| | Numbers and v marked correctly on the axes | DB1 | (3 marks) |
| (ii) | 1st section correct | B1 | |
| | 2nd section correct | B1 | |
| | 3rd section correct and no "extras" on the sketch | B1 | (3 marks) |
| (b) | $\frac{70 + 40}{2} \times v = 880$ | M1 A1 | |
| | $v = 880 \times \frac{2}{110} = 16$ | DM1 A1 | (4 marks) |
| | | | **[10 marks total]** |\begin{enumerate}
\item A car accelerates uniformly from rest for 20 seconds. It moves at constant speed $v \mathrm {~m} \mathrm {~s} ^ { - 1 }$ for the next 40 seconds and then decelerates uniformly for 10 seconds until it comes to rest.\\
(a) For the motion of the car, sketch\\
(i) a speed-time graph,\\
(ii) an acceleration-time graph.
\end{enumerate}
Given that the total distance moved by the car is 880 m ,\\
(b) find the value of $v$.
\hfill \mbox{\textit{Edexcel M1 2011 Q5 [10]}}