OCR MEI M1 — Question 1 6 marks

Exam BoardOCR MEI
ModuleM1 (Mechanics 1)
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicTravel graphs
TypeVelocity-time graph sketching
DifficultyEasy -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.
Spec3.02b Kinematic graphs: displacement-time and velocity-time3.02c Interpret kinematic graphs: gradient and area

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.
  1. Sketch a velocity-time graph for the motion. [3]
  2. Calculate the distance travelled by the cyclist. [3]

Question 1:

AnswerMarks
1(i)v
15
m s -1
t
AnswerMarks
0 10 30 35B1
B1
AnswerMarks
B1Acc and dec shown as straight lines
Horizontal straight section
All correct with v and times marked and
at least one axis labelled.
AnswerMarks
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
AnswerMarks
= 412.5 so distance is 412.5 mM1
A1
AnswerMarks
A1At 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.
AnswerMarks
cao (Accept 410 or better accuracy)3
marksub
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]}}