| Exam Board | OCR MEI |
|---|---|
| Module | M1 (Mechanics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Travel graphs |
| Type | Velocity-time graph sketching |
| Difficulty | Easy -1.3 This is a straightforward kinematics question requiring a basic velocity-time graph sketch and area calculation. It involves only standard recall of constant acceleration concepts with no problem-solving insight needed—simpler than typical A-level questions. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02c Interpret kinematic graphs: gradient and area |
| Answer | Marks |
|---|---|
| 1(i) | v |
| Answer | Marks |
|---|---|
| 0 10 30 35 | B1 |
| Answer | Marks |
|---|---|
| B1 | Acc and dec shown as straight lines |
| Answer | Marks |
|---|---|
| Accept (t, v) or (v, t) used. | 3 |
| (ii) | Distance is found from the area |
| Answer | Marks |
|---|---|
| = 412.5 so distance is 412.5 m | M1 |
| Answer | Marks |
|---|---|
| A1 | At least one area attempted or equivalent |
| Answer | Marks |
|---|---|
| cao (Accept 410 or better accuracy) | 3 |
| mark | sub |
Question 1:
--- 1(i) ---
1(i) | v
15
m s -1
t
0 10 30 35 | B1
B1
B1 | Acc and dec shown as straight lines
Horizontal straight section
All correct with v and times marked and
at least one axis labelled.
Accept (t, v) or (v, t) used. | 3
(ii) | Distance is found from the area
area is 1×10×15+20×15+1×5×15
2 2
(or 1×(20+35)×15)
2
= 412.5 so distance is 412.5 m | M1
A1
A1 | At least one area attempted or equivalent
uvast attempted over one appropriate
interval.
Award for at least two areas (or
equivalent) correct
Allow if a trapezium used and only 1
substitution error.
FT their diagram.
cao (Accept 410 or better accuracy) | 3
mark | sub
A cyclist starts from rest and takes 10 seconds to accelerate at a constant rate up to a speed of $15\text{ m s}^{-1}$.
After travelling at this speed for 20 seconds, the cyclist then decelerates to rest at a constant rate over
the next 5 seconds.
\begin{enumerate}[label=(\roman*)]
\item Sketch a velocity-time graph for the motion. [3]
\item Calculate the distance travelled by the cyclist. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI M1 Q1 [6]}}