| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Constant acceleration (SUVAT) |
| Difficulty | Moderate -0.3 This is a standard M1 kinematics question requiring application of SUVAT equations with two conditions to find two unknowns (initial velocity and acceleration). While it involves simultaneous equations and careful tracking of time intervals, it follows a routine problem-solving pattern with no conceptual surprises, making it slightly easier than average. |
| Spec | 3.02d Constant acceleration: SUVAT formulae |
| Answer | Marks | Guidance |
|---|---|---|
| (a) \(s = u t + \frac{1}{2}at^2\): \(3u + 4.5a = 6\), \(9u + 40.5a = 39\) | \(21 = 27a\) | \(a = \frac{7}{9} \text{ ms}^{-2}\) |
| (b) \(u = \frac{5}{6} \text{ ms}^{-1}\) | M1 A1; M1 A1 |
(a) $s = u t + \frac{1}{2}at^2$: $3u + 4.5a = 6$, $9u + 40.5a = 39$ | $21 = 27a$ | $a = \frac{7}{9} \text{ ms}^{-2}$ | M1 A1 A1
(b) $u = \frac{5}{6} \text{ ms}^{-1}$ | | M1 A1; M1 A1 | **7 marks**A particle $P$ moves in a straight line through a fixed point $O$ with constant acceleration $a$ ms$^{-2}$.
3 seconds after passing through $O$, $P$ is 6 m from $O$.
After a further 6 seconds, $P$ has travelled a further 33 m in the same direction. Calculate
\begin{enumerate}[label=(\alph*)]
\item the value of $a$, [5 marks]
\item the speed with which $P$ passed through $O$. [2 marks]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 Q3 [7]}}