Edexcel A-Level Mathematics Mechanics: a complete overview of kinematics, forces, moments and projectiles
A deep-dive Edexcel A-Level Mathematics guide to the Mechanics content examined in Paper 3. Covers quantities and units, kinematics and the suvat equations, forces and Newton's laws, friction, moments and projectiles, with the modelling assumptions and exam patterns Edexcel repeats.
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What the Mechanics content demands
Mechanics is one of the two applied strands of Edexcel A-Level Mathematics, sharing Paper 3 with Statistics. It applies pure techniques (vectors, trigonometry, simultaneous equations and calculus) to motion and forces, and rewards two skills: drawing and reading a clear force diagram, and setting up the right equations from the model. This guide walks through all five mechanics topics, then sets out the exam patterns Edexcel repeats.
Quantities, units and kinematics
The content opens with quantities and units in mechanics: the SI base units, derived units, the scalar-versus-vector distinction, and the modelling assumptions (particle, light, inextensible, smooth) that simplify problems. Kinematics then describes motion through displacement, velocity and acceleration, motion graphs, the constant-acceleration suvat equations, and the use of calculus when acceleration varies with time.
Forces and Newton's laws
Forces and Newton's laws is the heart of the strand: Newton's three laws, , weight , resolving forces into components, friction with and the limiting case, and connected particles such as masses over a smooth pulley. Many of the longest questions combine forces with kinematics on an inclined plane.
Moments and projectiles
Moments analyses the turning effect of forces, the principle of moments, and the equilibrium of rigid bodies such as rods and beams on supports. Projectiles models a body launched under gravity by resolving the velocity into independent horizontal and vertical components, finding the time of flight, range, greatest height and the parabolic path.
How the Mechanics content is examined
A typical Edexcel profile for Mechanics:
- Kinematics questions. Using suvat for constant acceleration and calculus for variable acceleration, often with motion graphs.
- Force problems. Resolving forces on horizontal and inclined surfaces, applying , and handling friction.
- Connected particles. Two masses over a pulley sharing an acceleration and a tension.
- Moments and projectiles. Balancing beams about a pivot, and finding range and time of flight for a projectile.
Check your knowledge
A mix of recall and technique questions covering the Mechanics content. Attempt them, then check against the solutions.
- State Newton's second law as an equation. (1 mark)
- A car accelerates from rest at m per second squared for s. Find its final speed. (2 marks)
- Give the SI unit of force in base units. (1 mark)
- A kg block on a rough surface has . Find the maximum friction, taking . (2 marks)
- A ball is launched at m per second at degrees. Find its vertical component of velocity. (2 marks)
Sources & how we know this
- Pearson Edexcel A-Level Mathematics (9MA0) specification — Pearson Edexcel (2017)