| Exam Board | SPS |
|---|---|
| Module | SPS FM Mechanics (SPS FM Mechanics) |
| Year | 2021 |
| Session | June |
| Marks | 6 |
| Topic | Constant acceleration (SUVAT) |
| Type | Multi-phase journey: find unknown speed or time |
| Difficulty | Moderate -0.3 This is a straightforward three-stage motion problem requiring basic SUVAT equations and understanding that distance equals area under a velocity-time graph. Part (i) uses v²=u²+2as with given values, and part (ii) requires calculating times for each stage and using total distance. While multi-step, it follows a standard template with no conceptual challenges beyond routine mechanics. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02d Constant acceleration: SUVAT formulae |
\begin{enumerate}
\item A train is travelling between two stations that are 4.8 km apart on a straight horizontal track.
\end{enumerate}
It accelerates uniformly from rest to a speed of $40 \mathrm {~ms} ^ { - 1 }$ covering a distance of 400 m .\\
It then travels at $40 \mathrm {~ms} ^ { - 1 }$ for $T$ seconds and decelerates uniformly at $0.8 \mathrm {~ms} ^ { - 2 }$ for the final part of the journey until it arrives at the next station.
This is represented in the velocity-time graph below.\\
\includegraphics[max width=\textwidth, alt={}, center]{6c69f370-0d2d-41ec-8761-0707a6ada43d-02_595_1394_497_210}\\
i. Work out the acceleration during the first 400 m of the journey.\\
ii. Find the value of $T$.\\[0pt]
\\
\hfill \mbox{\textit{SPS SPS FM Mechanics 2021 Q1 [6]}}