| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2002 |
| Session | November |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Constant acceleration (SUVAT) |
| Type | Multi-phase journey: find unknown speed or time |
| Difficulty | Moderate -0.3 This is a standard M1 SUVAT question requiring a speed-time graph sketch and using the trapezium area formula to find unknowns. While it involves algebra with the unknown T, the method is routine: area under graph equals total distance, leading to a straightforward linear equation. Slightly easier than average due to its predictable structure and single-variable algebra. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02c Interpret kinematic graphs: gradient and area3.02d Constant acceleration: SUVAT formulae |
3. A car accelerates uniformly from rest to a speed of $20 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ in $T$ seconds. The car then travels at a constant speed of $20 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ for $4 T$ seconds and finally decelerates uniformly to rest in a further 50 s .
\begin{enumerate}[label=(\alph*)]
\item Sketch a speed-time graph to show the motion of the car.
The total distance travelled by the car is 1220 m . Find
\item the value of $T$,
\item the initial acceleration of the car.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2002 Q3 [7]}}