| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Constant acceleration (SUVAT) |
| Type | Multi-phase journey: find total distance |
| Difficulty | Moderate -0.8 This is a straightforward SUVAT problem with clearly defined stages and all necessary information provided. Students need to recognize that acceleration time equals deceleration time (total 116s - 84s = 32s, so 16s each), then calculate distance using the trapezium area under the velocity-time graph. It requires only routine application of kinematic equations with no problem-solving insight, making it easier than average but not trivial due to the multi-stage setup. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02d Constant acceleration: SUVAT formulae |
| Answer | Marks | Guidance |
|---|---|---|
| (a) \(t = \frac{116-84}{2} = 16\) seconds | M1 A1 | |
| (b) Velocity-time graph with axes labeled: velocity (m s⁻¹) up to 24, time (seconds) showing points at 0, 16, 100, 116 | B2 | |
| (c) dist. = area under graph = \(\frac{1}{2}(116 + 84)(24) = 2400\) m | M2 A1 | (7 marks) |
**(a)** $t = \frac{116-84}{2} = 16$ seconds | M1 A1 |
**(b)** Velocity-time graph with axes labeled: velocity (m s⁻¹) up to 24, time (seconds) showing points at 0, 16, 100, 116 | B2 |
**(c)** dist. = area under graph = $\frac{1}{2}(116 + 84)(24) = 2400$ m | M2 A1 | (7 marks)2. An underground train accelerates uniformly from rest at station $A$ to a velocity of $24 \mathrm {~ms} ^ { - 1 }$. It maintains this speed for 84 seconds, until it decelerates uniformly to rest at station $B$. The total journey time is 116 seconds and the magnitudes of the acceleration and deceleration are equal.
\begin{enumerate}[label=(\alph*)]
\item Find the time it takes the train to accelerate from rest to $24 \mathrm {~m} \mathrm {~s} ^ { - 1 }$.
\item Illustrate this information on a velocity-time graph.
\item Using your graph, or otherwise, find the distance between the two stations.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 Q2 [7]}}