| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2004 |
| Session | November |
| Marks | 11 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Travel graphs |
| Type | Two-particle meeting or overtaking |
| Difficulty | Moderate -0.8 This is a straightforward kinematics problem using standard SUVAT equations with constant acceleration. Part (a) is direct application of v²=u²+2as, part (b) requires finding time then distance for car A, and part (c) involves solving a quadratic equation from s=ut+½at². All steps are routine M1 material with no conceptual challenges or novel problem-solving required. |
| Spec | 3.02d Constant acceleration: SUVAT formulae |
Two cars $A$ and $B$ are moving in the same direction along a straight horizontal road. At time $t = 0$, they are side by side, passing a point $O$ on the road. Car $A$ travels at a constant speed of $30 \text{ m s}^{-1}$. Car $B$ passes $O$ with a speed of $20 \text{ m s}^{-1}$, and has constant acceleration of $4 \text{ m s}^{-2}$.
Find
\begin{enumerate}[label=(\alph*)]
\item the speed of $B$ when it has travelled 78 m from $O$, [2]
\item the distance from $O$ of $A$ when $B$ is 78 m from $O$, [4]
\item the time when $B$ overtakes $A$. [5]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2004 Q6 [11]}}