| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Travel graphs |
| Type | Find acceleration from SUVAT |
| Difficulty | Standard +0.3 This is a standard M1 kinematics question using SUVAT equations with uniform acceleration. Part (a) requires setting up two equations from the given distances and times to solve for initial velocity and deceleration—straightforward but involves some algebraic manipulation. Part (b) is a direct application once the deceleration is known. The question is slightly easier than average because it follows a well-practiced template with clear given information and standard techniques, though the algebra requires care. |
| Spec | 3.02d Constant acceleration: SUVAT formulae |
| Answer | Marks | Guidance |
|---|---|---|
| (a) | use of \(s = ut + \frac{1}{2}at^2\) for OL (54m, \(t = 1\)) and OM (144m, \(t = 4\)) | M2 |
| to give \(54 = u + \frac{1}{2}a\) and \(144 = 4u + 8a\) | A1 | |
| solve simult. to give \(a = -12\)ms\(^{-2}\) | M1 A1 | |
| (b) | for ON, \(u = 60\), \(a = 12\), \(v = 0\) | M1 |
| \(v^2 = u^2 + 2as\), so \(0 = 3600 - 24s\) | M1 | |
| \(s = 150\)m, so \(MN = 150 - 144 = 6\)m | M1 A1 | (9) |
(a) | use of $s = ut + \frac{1}{2}at^2$ for OL (54m, $t = 1$) and OM (144m, $t = 4$) | M2 |
| to give $54 = u + \frac{1}{2}a$ and $144 = 4u + 8a$ | A1 |
| solve simult. to give $a = -12$ms$^{-2}$ | M1 A1 |
(b) | for ON, $u = 60$, $a = 12$, $v = 0$ | M1 |
| $v^2 = u^2 + 2as$, so $0 = 3600 - 24s$ | M1 |
| $s = 150$m, so $MN = 150 - 144 = 6$m | M1 A1 | (9) |A sports car is being driven along a straight test track. It passes the point $O$ at time $t = 0$ at which time it begins to decelerate uniformly. The car passes the points $L$ and $M$ at times $t = 1$ and $t = 4$ respectively.
Given that $OL$ is 54 m and $LM$ is 90 m,
\begin{enumerate}[label=(\alph*)]
\item find the rate of deceleration of the car. [5 marks]
\end{enumerate}
The car subsequently comes to rest at $N$.
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{1}
\item Find the distance $MN$. [4 marks]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 Q4 [9]}}