OCR MEI Paper 1 2022 June — Question 1 4 marks

Exam BoardOCR MEI
ModulePaper 1 (Paper 1)
Year2022
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicTravel graphs
TypeDisplacement-time graph interpretation or sketching
DifficultyEasy -1.2 This is a straightforward displacement-time graph question requiring only basic gradient calculations and understanding the difference between displacement and distance. Part (a) involves simple arithmetic (7m + 4m = 11m) and part (b) is a routine gradient calculation (change in s / change in t). No problem-solving insight needed, just direct application of definitions.
Spec3.02a Kinematics language: position, displacement, velocity, acceleration

1 A particle moves along a straight line. The displacement \(s \mathrm {~m}\) at time \(t \mathrm {~s}\) is shown in the displacementtime graph below. The graph consists of straight line segments joining the points \(( 0 , - 2 ) , ( 10,5 )\) and \(( 15,1 )\). \includegraphics[max width=\textwidth, alt={}, center]{9dd6fc6d-b51e-4a73-ace5-d26a7558032c-04_641_848_641_242}
  1. Find the distance travelled by the particle in the first 15 s .
  2. Calculate the velocity of the particle between \(t = 10\) and \(t = 15\).

Question 1:
Part (a)
AnswerMarks Guidance
AnswerMarks Guidance
Distance \(2 + 5 + 4\)M1 adding distances in two or three sections
\(= 11\) mA1 cao
[2]
Part (b)
AnswerMarks Guidance
AnswerMarks Guidance
velocity \(= \dfrac{5-1}{10-15}\)M1 Allow sign errors but not wrong way up. Soi
\(v = -0.8\) ms\(^{-1}\)A1 Oe. Mark final answer
[2]
# Question 1:

## Part (a)
| Answer | Marks | Guidance |
|--------|-------|----------|
| Distance $2 + 5 + 4$ | M1 | adding distances in two or three sections |
| $= 11$ m | A1 | cao |
| **[2]** | | |

## Part (b)
| Answer | Marks | Guidance |
|--------|-------|----------|
| velocity $= \dfrac{5-1}{10-15}$ | M1 | Allow sign errors but not wrong way up. Soi |
| $v = -0.8$ ms$^{-1}$ | A1 | Oe. Mark final answer |
| **[2]** | | |

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1 A particle moves along a straight line. The displacement $s \mathrm {~m}$ at time $t \mathrm {~s}$ is shown in the displacementtime graph below. The graph consists of straight line segments joining the points $( 0 , - 2 ) , ( 10,5 )$ and $( 15,1 )$.\\
\includegraphics[max width=\textwidth, alt={}, center]{9dd6fc6d-b51e-4a73-ace5-d26a7558032c-04_641_848_641_242}
\begin{enumerate}[label=(\alph*)]
\item Find the distance travelled by the particle in the first 15 s .
\item Calculate the velocity of the particle between $t = 10$ and $t = 15$.
\end{enumerate}

\hfill \mbox{\textit{OCR MEI Paper 1 2022 Q1 [4]}}