Edexcel M1 Specimen — Question 2 7 marks

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
SessionSpecimen
Marks7
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicTravel graphs
TypeMulti-stage motion with all parameters given
DifficultyModerate -0.8 This is a straightforward two-stage kinematics problem using standard SUVAT equations with clearly stated accelerations and times. Part (a) requires one application of v=u+at, and part (b) requires calculating distances for two separate constant acceleration phases then summing—routine mechanics with no conceptual challenges or problem-solving insight needed.
Spec3.02d Constant acceleration: SUVAT formulae

A car starts from rest at a point \(O\) and moves in a straight line. The car moves with constant acceleration \(4 \text{ m s}^{-2}\) until it passes the point \(A\) when it is moving with speed \(10 \text{ m s}^{-1}\). It then moves with constant acceleration \(3 \text{ m s}^{-2}\) for 6 s until it reaches the point \(B\). Find
  1. the speed of the car at \(B\), [2]
  2. the distance \(OB\). [5]

Question 2:
2
4. (a)
(b)
(c)
AnswerMarks
(d)Speed ms-1
36
Shape
Time (s)
90
36,90
Time to accelerate : time to decelerate
18 s 12 s
Distance= area under graph
1
= (cid:4) 36 (cid:4) (90 + 120) m
2
= 3780 m
There is no period of constant maximum velocity
(OR “it speeds up and then immediately slows down again” OR “it attains a
greater maximum speed”)
Let greatest speed be V m s−1 then
1
(cid:4) 150 (cid:4) V = 3780
max
2
AnswerMarks
V = 50.4M1A1
B1 (3)
M1 A1
M1 A1
A1 (5)
B1 (1)
M1 A1
A1
(9 marks)
Question 2:
2
4. (a)
(b)
(c)
(d) | Speed ms-1
36
Shape
Time (s)
90
36,90
Time to accelerate : time to decelerate
18 s 12 s
Distance= area under graph
1
= (cid:4) 36 (cid:4) (90 + 120) m
2
= 3780 m
There is no period of constant maximum velocity
(OR “it speeds up and then immediately slows down again” OR “it attains a
greater maximum speed”)
Let greatest speed be V m s−1 then
1
(cid:4) 150 (cid:4) V = 3780
max
2
V = 50.4 | M1A1
B1 (3)
M1 A1
M1 A1
A1 (5)
B1 (1)
M1 A1
A1
(9 marks)
A car starts from rest at a point $O$ and moves in a straight line. The car moves with constant acceleration $4 \text{ m s}^{-2}$ until it passes the point $A$ when it is moving with speed $10 \text{ m s}^{-1}$. It then moves with constant acceleration $3 \text{ m s}^{-2}$ for 6 s until it reaches the point $B$. Find

\begin{enumerate}[label=(\alph*)]
\item the speed of the car at $B$, [2]
\item the distance $OB$. [5]
\end{enumerate}

\hfill \mbox{\textit{Edexcel M1  Q2 [7]}}