Edexcel IAL M1 October 2022 mark scheme and question paper (WME01/01)

2 M1 questions like these, with worked solutions

Written and checked by us, not taken from the Pearson paper. Try each one, then tap "Worked solution" to see every step and its marks.

1. Kinematics · 5 marks

   A particle moving with constant acceleration passes three points $A$, $B$ and $C$, in that order, on a straight line. The distance $AB$ is $20\text{ m}$ and the distance $AC$ is $84\text{ m}$. The speed of the particle at $B$ is $12{\text{ m s}}^{-1}$ and its speed at $C$ is $20{\text{ m s}}^{-1}$. Find the acceleration of the particle and its speed at $A$.

   Worked solution

   1. M1 for $BC=84-20=64\text{ m}$.
   2. M1 for $v^2=u^2+2as$ from $B$ to $C$: ${20}^2={12}^2+2a(64)$.
   3. A1 for $128a=256\Rightarrow a=2{\text{ m s}}^{-2}$.
   4. M1 for $v^2=u^2+2as$ from $A$ to $B$: ${12}^2=u_A^2+2(2)(20)$.
   5. A1 for $u_A^2=64\Rightarrow u_A=8{\text{ m s}}^{-1}$.

2. Momentum and Impulse · 4 marks

   Two particles A and B, of masses $m$ and $km$ respectively, collide on a smooth horizontal surface. Before the collision, A is moving with speed $3u$ and B is at rest. After the collision, A rebounds with speed $u$ and B moves with speed $u$. Find the value of $k$.

   Worked solution

   1. M1 for applying conservation of momentum, taking A's initial direction as positive.
   2. M1 for the equation: $m(3u)+km(0)=m(-u)+km(u)$.
   3. A1 for simplifying: $3mu=-mu+kmu⟹4mu=kmu$.
   4. A1 for finding $k=4$.

More on these topics: Kinematics · Momentum and Impulse

What's on this paper

What this paper is like

• Shape: 8 questions, 75 marks in 1 h 30 min (about 1.2 minutes a mark); questions from 5 to 16 marks.
• Biggest question: Q8, 16 marks: two ships moving with vectors.
• Marks by main topic: Vectors (Mechanics context) 25, Dynamics of a Particle 13, Moments 12, Statics of a Particle 11, Kinematics 9, Momentum and Impulse 5.
• More Vectors (Mechanics context) in other sittings: January 2023 Q3 (10 marks), June 2022 Q8 (17 marks), June 2023 Q2 (10 marks).
• Against the other 15 sittings we mapped: more marks on Vectors (Mechanics context) (25 marks here, 17 on average) and Moments (12 marks here, 8 on average); fewer on Kinematics (9 marks here, 17 on average) and Forces and Newton's Laws (0 marks here, 4 on average).
• Not on this paper: Forces and Newton's Laws.
• Calculator: allowed.

WME01/01: question by question

Labels and topics are ours, read from the WME01/01 paper (checked 2026-11-01); marks as printed. Tap a number to practise that topic.

1. Q1Railway trucks colliding (5 marks) · M1 Momentum and Impulse
2. Q2Uniform rod on two supports (6 marks) · M1 Moments
3. Q3Particle held on a rough inclined plane (11 marks) · M1 Statics of a Particle, M1 Forces and Newton's Laws
4. Q4Children standing on a plank (6 marks) · M1 Moments
5. Q5Ball projected vertically upwards (9 marks) · M1 Kinematics
6. Q6Particle moving with i and j vectors (9 marks) · M1 Vectors (Mechanics context)
7. Q7Particles connected by a string over a pulley (13 marks) · M1 Dynamics of a Particle
8. Q8Two ships moving with vectors (16 marks) · M1 Vectors (Mechanics context)

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