Exam Board Edexcel Module M1 (Mechanics 1) Year 2018 Session October Marks 8 Paper Download PDF ↗ Mark scheme Download PDF ↗ Topic Travel graphs Type Distance from velocity-time graph Difficulty Easy -1.2 This is a straightforward velocity-time graph question requiring students to find distance by calculating the area of a trapezium. It tests basic recall of the relationship between velocity-time graphs and distance, with simple arithmetic (no complex calculations or problem-solving required). This is easier than average for A-level, being a fundamental M1 skill.
2.
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Question 2:
Part (a):
Answer Marks
Guidance
Answer/Working Marks
Guidance
\(R(\uparrow): 0.5R_C + R_C = 60 + 12\) where \(R_A = \frac{1}{2}R_C\) M1A1
First equation, correct resolution
\(M(A): 60x + (12 \times 5) = R_C \times 3\) M1A1
Moments equation in two unknowns
\(M(B): (2 \times R_C) + \left(\frac{1}{2}R_C \times 5\right) = 60(5-x)\) \(M(C): \left(\frac{1}{2}R_C \times 3\right) + (12 \times 2) = 60(3-x)\) \(M(G): 12(5-x) + \frac{1}{2}R_C x = R_C(3-x)\) Eliminate \(R_C\), solve for \(x\) (\(AG\)) DM1
Dependent on both M marks
\(x = 1.4\) m A1 (6)
Part (b):
Answer Marks
Guidance
Answer/Working Marks
Guidance
(i) the weight of the parcel acts at \(B\) B1
e.g. mass is concentrated at \(B\); B0 if incorrect extras
(ii) the plank remains straight B1 (2)[8]
e.g. plank doesn't buckle or bend; B0 if incorrect extras
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# Question 2:
## Part (a):
| Answer/Working | Marks | Guidance |
|---|---|---|
| $R(\uparrow): 0.5R_C + R_C = 60 + 12$ where $R_A = \frac{1}{2}R_C$ | M1A1 | First equation, correct resolution |
| $M(A): 60x + (12 \times 5) = R_C \times 3$ | M1A1 | Moments equation in two unknowns |
| $M(B): (2 \times R_C) + \left(\frac{1}{2}R_C \times 5\right) = 60(5-x)$ | | |
| $M(C): \left(\frac{1}{2}R_C \times 3\right) + (12 \times 2) = 60(3-x)$ | | |
| $M(G): 12(5-x) + \frac{1}{2}R_C x = R_C(3-x)$ | | |
| Eliminate $R_C$, solve for $x$ ($AG$) | DM1 | Dependent on both M marks |
| $x = 1.4$ m | A1 (6) | |
## Part (b):
| Answer/Working | Marks | Guidance |
|---|---|---|
| (i) the weight of the parcel acts at $B$ | B1 | e.g. mass is concentrated at $B$; B0 if incorrect extras |
| (ii) the plank remains straight | B1 (2)[8] | e.g. plank doesn't buckle or bend; B0 if incorrect extras |
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2.\\
\includegraphics[max width=\textwidth, alt={}, center]{5f2d38d9-b719-4205-8cb0-caa959afc46f-04_269_1175_296_375}
\hfill \mbox{\textit{Edexcel M1 2018 Q2 [8]}}