| Exam Board | CAIE |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2011 |
| Session | June |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Constant acceleration (SUVAT) |
| Type | Multi-phase journey: find unknown speed or time |
| Difficulty | Moderate -0.8 This is a straightforward three-stage SUVAT problem with all parameters explicitly given. Students apply standard kinematic equations (v = u + at, s = ut + ½at²) in sequence with no problem-solving insight required. The velocity-time graph is routine, and part (iii) involves simple equation-solving. Easier than average due to its mechanical, step-by-step nature with no conceptual challenges. |
| Spec | 3.02c Interpret kinematic graphs: gradient and area3.02d Constant acceleration: SUVAT formulae |
5 A train starts from rest at a station $A$ and travels in a straight line to station $B$, where it comes to rest. The train moves with constant acceleration $0.025 \mathrm {~m} \mathrm {~s} ^ { - 2 }$ for the first 600 s , with constant speed for the next 2600 s , and finally with constant deceleration $0.0375 \mathrm {~m} \mathrm {~s} ^ { - 2 }$.\\
(i) Find the total time taken for the train to travel from $A$ to $B$.\\
(ii) Sketch the velocity-time graph for the journey and find the distance $A B$.\\
(iii) The speed of the train $t$ seconds after leaving $A$ is $7.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. State the possible values of $t$.
\hfill \mbox{\textit{CAIE M1 2011 Q5 [8]}}