| Exam Board | OCR MEI |
|---|---|
| Module | M1 (Mechanics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Constant acceleration (SUVAT) |
| Type | SUVAT simultaneous equations: find u and a |
| Difficulty | Standard +0.3 This is a standard two-equation SUVAT problem requiring students to form simultaneous equations from given information and solve them. While it involves algebraic manipulation with two unknowns, the setup is straightforward (applying s=ut+½at² and v=u+at), and the solution method is routine for M1 students. Slightly above average difficulty due to the algebraic component, but still a textbook-style exercise. |
| Spec | 3.02d Constant acceleration: SUVAT formulae |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(14 = 2u + 0.5a \times 4\) | M1 | Use of appropriate *uvast* for either equation |
| \(19 = u + 5a\) | A1 | Any form |
| A1 | \(y\) form | |
| Solving gives \(u = 4\) and \(a = 3\) | M1 | Attempt at solution of 2 equations in 2 unknowns. At least one value found. Must have complete correct solution to their equations |
| F1 |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(19^2 = 4^2 + 2 \times 3 \times s\) or \(s = 4 \times 5 + 0.5 \times 3 \times 25\) | M1 | Use of appropriate *uvast* and their \(u\), \(a\) & \(t = 5\). cao [Accept 50 if \(t = 7\) instead of \(t = 5\) in (i) for 2/2] |
| \(s = 57.5\) m | A1 |
## Question 4:
### Part (i)
| Answer | Marks | Guidance |
|--------|-------|----------|
| $14 = 2u + 0.5a \times 4$ | M1 | Use of appropriate *uvast* for either equation |
| $19 = u + 5a$ | A1 | Any form |
| | A1 | $y$ form |
| Solving gives $u = 4$ and $a = 3$ | M1 | Attempt at solution of 2 equations in 2 unknowns. At least one value found. Must have complete correct solution to their equations |
| | F1 | |
### Part (ii)
| Answer | Marks | Guidance |
|--------|-------|----------|
| $19^2 = 4^2 + 2 \times 3 \times s$ or $s = 4 \times 5 + 0.5 \times 3 \times 25$ | M1 | Use of appropriate *uvast* and their $u$, $a$ & $t = 5$. cao [Accept 50 if $t = 7$ instead of $t = 5$ in (i) for 2/2] |
| $s = 57.5$ m | A1 | |4 A car is driven with constant acceleration, $a \mathrm {~m} \mathrm {~s} { } ^ { 2 }$, along a straight road. Its speed when it passes a road sign is $u \mathrm {~ms} { } ^ { 1 }$. The car travels 14 m in the 2 seconds after passing the sign; 5 seconds after passing the sign it has a speed of $19 \mathrm {~ms} { } ^ { 1 }$.\\
(i) Write down two equations connecting $a$ and $u$. Hence find the values of $a$ and $u$.\\
(ii) What distance does the car travel in the 5 seconds after passing the road sign?
\hfill \mbox{\textit{OCR MEI M1 Q4 [7]}}