| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2018 |
| Session | January |
| Marks | 12 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Constant acceleration (SUVAT) |
| Type | Multi-phase journey: find unknown speed or time |
| Difficulty | Standard +0.3 This is a standard M1 SUVAT problem with three stages of motion requiring students to find an unknown parameter T using total distance. While it involves multiple stages and setting up an equation, the steps are routine: apply SUVAT to each stage, sum distances to equal 705m, and solve a linear equation. The extension to part (c) is straightforward once T is found. Slightly above average difficulty due to the algebraic unknown and multi-stage nature, but follows standard M1 patterns without requiring novel insight. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02d Constant acceleration: SUVAT formulae |
5. A cyclist is travelling along a straight horizontal road. The cyclist starts from rest at point $A$ on the road and accelerates uniformly at $0.6 \mathrm {~m} \mathrm {~s} ^ { - 2 }$ for 20 seconds. He then moves at constant speed for $4 T$ seconds, where $T < 20$. He then decelerates uniformly at $0.3 \mathrm {~m} \mathrm {~s} ^ { - 2 }$ and after $T$ seconds passes through point $B$ on the road. The distance from $A$ to $B$ is 705 m .
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\item Sketch a speed-time graph for the motion of the cyclist between points $A$ and $B$.
\item Find the value of $T$.
The cyclist continues his journey, still decelerating uniformly at $0.3 \mathrm {~m} \mathrm {~s} ^ { - 2 }$, until he comes to rest at point $C$ on the road.
\item Find the total time taken by the cyclist to travel from $A$ to $C$.
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\hfill \mbox{\textit{Edexcel M1 2018 Q5 [12]}}