| Exam Board | CAIE |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2018 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Travel graphs |
| Type | Multi-stage motion with velocity-time graph given |
| Difficulty | Easy -1.2 This is a straightforward velocity-time graph question requiring only basic kinematics: reading gradient for acceleration, using area under graph equals distance, and simple arithmetic. All three parts are standard textbook exercises with no problem-solving or novel insight required—significantly easier than average A-level. |
| 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 |
|---|---|---|
| 1(i) | 0.4 (m s–2) | B1 |
| Total: | 1 |
| Answer | Marks | Guidance |
|---|---|---|
| 1(ii) | [9040= 1(600+T)×16] | |
| 2 | M1 | Equating area of the trapezium to the total distance |
| Answer | Marks |
|---|---|
| Time is 530 (s) | A1 |
| Total: | 2 |
| Answer | Marks | Guidance |
|---|---|---|
| 1(iii) | [s= 1×(600−530−40)×16] | |
| 2 | M1 | Use of triangular area, or equivalent |
| Distance is 240 (m) | A1 | |
| Total: | 2 | |
| Question | Answer | Marks |
Question 1:
--- 1(i) ---
1(i) | 0.4 (m s–2) | B1
Total: | 1
--- 1(ii) ---
1(ii) | [9040= 1(600+T)×16]
2 | M1 | Equating area of the trapezium to the total distance
or using s = ½ (u + v)t or equivalent
Time is 530 (s) | A1
Total: | 2
--- 1(iii) ---
1(iii) | [s= 1×(600−530−40)×16]
2 | M1 | Use of triangular area, or equivalent
Distance is 240 (m) | A1
Total: | 2
Question | Answer | Marks | Guidance\includegraphics{figure_1}
The diagram shows the velocity-time graph for a train which travels from rest at one station to rest at the next station. The graph consists of three straight line segments. The distance between the two stations is 9040 m.
\begin{enumerate}[label=(\roman*)]
\item Find the acceleration of the train during the first 40 s. [1]
\item Find the length of time for which the train is travelling at constant speed. [2]
\item Find the distance travelled by the train while it is decelerating. [2]
\end{enumerate}
\hfill \mbox{\textit{CAIE M1 2018 Q1 [5]}}