| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2004 |
| Session | November |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Travel graphs |
| Type | Find time from SUVAT |
| Difficulty | Moderate -0.8 This is a straightforward kinematics problem requiring a basic speed-time graph sketch and simple application of constant acceleration equations. The two-stage motion (constant speed then uniform deceleration) is clearly described, and finding the time involves elementary area-under-graph calculation with no conceptual challenges—easier than average A-level. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02c Interpret kinematic graphs: gradient and area3.02d Constant acceleration: SUVAT formulae |
A man is driving a car on a straight horizontal road. He sees a junction $S$ ahead, at which he must stop. When the car is at the point $P$, 300 m from $S$, its speed is $30 \text{ m s}^{-1}$. The car continues at this constant speed for 2 s after passing $P$. The man then applies the brakes so that the car has constant deceleration and comes to rest at $S$.
\begin{enumerate}[label=(\alph*)]
\item Sketch, in the space below, a speed-time graph to illustrate the motion of the car in moving from $P$ to $S$. [2]
\item Find the time taken by the car to travel from $P$ to $S$. [3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2004 Q1 [5]}}