| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2017 |
| Session | October |
| Marks | 14 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Constant acceleration (SUVAT) |
| Difficulty | Moderate -0.3 This is a standard SUVAT problem with multiple phases of motion requiring systematic application of kinematic equations. While it involves several steps and algebraic manipulation, the approach is methodical and follows a well-practiced template for multi-stage motion problems. The 'show that' structure provides scaffolding that guides students through the solution, making it slightly easier than average. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02d Constant acceleration: SUVAT formulae |
An athlete goes for a run along a straight horizontal road. Starting from rest, she accelerates at 0.6 m s$^{-2}$ up to a speed of $V$ m s$^{-1}$. She then maintains this constant speed of $V$ m s$^{-1}$ before finally decelerating at 0.2 m s$^{-2}$ back to rest. She covers a total distance of 1500 m in 270 s.
\begin{enumerate}[label=(\alph*)]
\item Sketch a speed-time graph to represent the athlete's run.
[2]
\item Show that she accelerates for $\frac{5V}{3}$ seconds.
[2]
\item Show that $V^2 - kV + 450 = 0$, where $k$ is a constant to be found.
[6]
\item Find the value of $V$, justifying your answer.
[4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2017 Q6 [14]}}