| Exam Board | SPS |
|---|---|
| Module | SPS SM (SPS SM) |
| Year | 2021 |
| Session | January |
| Marks | 6 |
| Topic | Travel graphs |
| Type | Velocity-time graph sketching |
| Difficulty | Moderate -0.8 This is a straightforward SUVAT problem requiring basic application of constant acceleration formulas and velocity-time graph sketching. Part (a) involves calculating two velocities using v=u+at and drawing three linear segments. Part (b) requires finding areas under the graph (trapeziums/rectangles). All steps are routine with no problem-solving insight needed, making it easier than average but not trivial due to the multi-stage nature. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02d Constant acceleration: SUVAT formulae |
3.
A vehicle, which begins at rest at point $P$, is travelling in a straight line.\\
For the first 4 seconds the vehicle moves with a constant acceleration of $0.75 \mathrm {~m} \mathrm {~s} ^ { - 2 }$\\
For the next 5 seconds the vehicle moves with a constant acceleration of $- 1.2 \mathrm {~ms} ^ { - 2 }$\\
The vehicle then immediately stops accelerating, and travels a further 33 m at constant speed.
\begin{enumerate}[label=(\alph*)]
\item Draw a velocity-time graph for this journey.
\item Find the distance of the car from $P$ after 20 seconds.
\end{enumerate}
\hfill \mbox{\textit{SPS SPS SM 2021 Q3 [6]}}