| 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 -1.2 This is a straightforward SUVAT question requiring a basic velocity-time graph sketch with three linear sections and a simple area calculation. It involves only routine application of constant acceleration concepts with no problem-solving insight needed—easier than average A-level mechanics. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02c Interpret kinematic graphs: gradient and area3.02d Constant acceleration: SUVAT formulae |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| \(0 < t < 2,\ v = 2\) | B1 | |
| \(2 < t < 3.5,\ v = -5\) | B1 | Condone '5 downwards' and '\(-5\) downwards' |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| Graph with horizontal lines, first two parts present | B1 | Only horizontal lines used and 1st two parts present. BOD \(t\)-axis section. One of 1st 2 sections correct. FT (i) and allow if answer correct with (i) wrong |
| All correct (including \(t\)-axis section \(t > 3.5\)) | B1 | All correct. Accept correct answer with (i) wrong. FT (i) only if 2nd section \(-\)ve in (i) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| (A) upwards; (B) and (C) downwards | E1 | All correct. Accept \(+/-\) ve but not towards/away from O. Accept forwards/backwards. Condone additional wrong statements about position. |
# Question 3:
## Part (i)
| Answer | Mark | Guidance |
|--------|------|----------|
| $0 < t < 2,\ v = 2$ | B1 | |
| $2 < t < 3.5,\ v = -5$ | B1 | Condone '5 downwards' and '$-5$ downwards' |
## Part (ii)
| Answer | Mark | Guidance |
|--------|------|----------|
| Graph with horizontal lines, first two parts present | B1 | Only horizontal lines used and 1st two parts present. BOD $t$-axis section. One of 1st 2 sections correct. FT (i) and allow if answer correct with (i) wrong |
| All correct (including $t$-axis section $t > 3.5$) | B1 | All correct. Accept correct answer with (i) wrong. FT (i) only if 2nd section $-$ve in (i) |
## Part (iii)
| Answer | Mark | Guidance |
|--------|------|----------|
| (A) upwards; (B) and (C) downwards | E1 | All correct. Accept $+/-$ ve but not towards/away from O. Accept forwards/backwards. Condone additional wrong statements about position. |
---3 A cyclist starts from rest and takes 10 seconds to accelerate at a constant rate up to a speed of $15 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. After travelling at this speed for 20 seconds, the cyclist then decelerates to rest at a constant rate over the next 5 seconds.\\
(i) Sketch a velocity-time graph for the motion.\\
(ii) Calculate the distance travelled by the cyclist.
\hfill \mbox{\textit{OCR MEI M1 Q3 [6]}}