How is the Mechanics content of AQA A-Level Mathematics assessed?

Mechanics is one of the two applied strands, examined alongside Statistics in Paper 3. It applies pure skills, especially calculus, vectors and trigonometry, to motion and forces. Expect questions on kinematics, Newton's laws, moments, projectiles and friction, with method marks rewarded for clear force diagrams and consistent use of directions.

Which Mechanics topics carry the most marks?

Kinematics and forces with Newton's laws are the heaviest, because they underpin projectiles, connected particles and friction problems. Projectiles and friction tend to appear as longer multi-step questions. A confident command of the constant acceleration equations and resolving forces is essential throughout the strand.

What techniques recur across the Mechanics content?

Resolving vectors into components, applying the constant acceleration equations, using F equals ma, taking moments about a chosen point, and using the friction inequality. Drawing a clear force diagram and choosing a positive direction at the start of every problem prevents most errors. Calculus links displacement, velocity and acceleration when acceleration varies.

What is the single most common mistake in Mechanics?

Sign errors from not fixing a positive direction, and applying gravity to horizontal motion in projectile questions. Other frequent errors are using weight as the normal reaction on a slope and treating friction as a fixed value rather than something that rises only as far as the limiting value. Always draw the forces and keep directions consistent.

How should I revise the Mechanics content?

Drill the constant acceleration equations and resolving forces until they are automatic, then practise projectiles, connected particles and friction on slopes. Always draw a labelled force diagram and state your positive direction. Practise using calculus for variable acceleration, and rehearse full multi-step problems under timed conditions.

EnglandMaths

AQA A-Level Mathematics Mechanics: a complete overview of kinematics, forces, moments, projectiles and friction

A deep-dive AQA A-Level Mathematics guide to the Mechanics content. Covers quantities and units, kinematics, forces and Newton's laws, moments, projectiles and friction, with the calculations and exam patterns AQA repeats.

Generated by Claude Opus 4.819 min read7357Updated 2026-06-02

Reviewed by: AI editorial process; not yet individually human-reviewed

Jump to a section

What the Mechanics content demands
Quantities, units and kinematics
Forces and moments
Projectiles and friction
How the Mechanics content is examined
Check your knowledge

What the Mechanics content demands

Mechanics is one of the two applied strands of AQA A-Level Mathematics. It applies pure techniques to the motion of objects and the forces acting on them. The examiners test calculation, the correct modelling of a physical situation, and clear reasoning with force diagrams and consistent directions.

This guide walks through all six mechanics topics in specification order, then sets out the exam patterns AQA repeats. Each topic has a matching dot-point page with practice questions; this overview ties them together.

Quantities, units and kinematics

The content opens with quantities and units in mechanics: SI units, the scalar and vector distinction, and the modelling assumptions (particles, light inextensible strings, smooth or rough surfaces) that simplify problems. Kinematics describes motion through displacement, velocity and acceleration, motion graphs, the constant acceleration equations such as $v = u + at$ , motion under gravity, and calculus for variable acceleration.

Forces and moments

Forces and Newton's laws treats force as a vector, finds resultants, applies the three laws and $F = ma$ , relates mass and weight through $W = mg$ , and solves connected-particle problems by resolving forces in two dimensions. Moments measures the turning effect of a force, applies the principle of moments for a rigid body in equilibrium, and finds reactions at supports for uniform and non-uniform rods.

Projectiles and friction

Projectiles models motion under gravity by treating the horizontal and vertical components independently, using the suvat equations to find range, maximum height, time of flight and the parabolic path. Friction introduces the coefficient of friction and the limiting friction model, $F \le \mu R$ , applied to objects on horizontal surfaces and inclined planes.

How the Mechanics content is examined

A typical AQA profile for Mechanics:

Kinematics questions. Using motion graphs and the constant acceleration equations, and calculus when acceleration varies.
Force problems. Applying $F = ma$ , resolving forces, and solving connected-particle systems.
Equilibrium and moments. Finding reactions and unknown forces for rods and beams in equilibrium.
Projectiles and friction. Multi-step problems combining components, the suvat equations and the friction inequality, often on a slope.

Check your knowledge

A mix of recall and calculation questions covering the Mechanics content. Attempt them under timed conditions, then check against the solutions.

A car accelerates from rest at $3$ metres per second squared for $4$ seconds. Find its final velocity. (2 marks)
A resultant force of $20$ newtons acts on a $4$ kilogram mass. Find the acceleration. (2 marks)
Find the weight of a $5$ kilogram mass, taking $g = 9.8$ . (1 mark)
A force of $8$ newtons acts $0.5$ metres from a pivot. Find the moment. (2 marks)
A block has normal reaction $40$ newtons and $\mu = 0.25$ . Find the limiting friction. (2 marks)
A projectile is launched at $25$ metres per second at $30$ degrees. Find its initial vertical velocity component. (2 marks)

Solutions

Six questions spanning the mechanics content: kinematics, Newton's second law, weight, moments, friction and projectile components. Work through each in turn.

Step 1: Q1 - Final velocity using constant acceleration

The constant acceleration equation $v = u + at$ is the starting point for any problem where acceleration is uniform. Here the car starts from rest, so $u = 0$ , which simplifies the calculation.

v = u + at = 0 + 3 \times 4 = 12 \text{ m s}^{-1}

Final answer: $12$ metres per second.

Step 2: Q2 - Acceleration from Newton's second law

Newton's second law states $F = ma$ , so the acceleration is found by dividing the resultant force by the mass. It is important that $F$ here is the net (resultant) force, not a single applied force.

a = \frac{F}{m} = \frac{20}{4} = 5 \text{ m s}^{-2}

Final answer: $5$ metres per second squared.

Step 3: Q3 - Weight from mass

Weight is the gravitational force acting on a mass. It is found by multiplying mass by the gravitational field strength $g$ . The result is a force and should be given in newtons.

W = mg = 5 \times 9.8 = 49 \text{ N}

Final answer: $49$ newtons.

Step 4: Q4 - Moment of a force

The moment of a force about a pivot is the product of the force and the perpendicular distance from the pivot to the line of action. Here the force and distance are already perpendicular to each other.

M = F \times d = 8 \times 0.5 = 4 \text{ N m}

Final answer: $4$ newton metres.

Step 5: Q5 - Limiting friction

The limiting (maximum) friction force is the coefficient of friction multiplied by the normal reaction. Friction cannot exceed this value; it rises to meet the applied force only up to this limit.

F_{\text{max}} = \mu R = 0.25 \times 40 = 10 \text{ N}

Final answer: $10$ newtons.

Step 6: Q6 - Vertical component of a projectile's initial velocity

For projectile motion, the initial velocity is resolved into independent horizontal and vertical components. The vertical component uses the sine of the launch angle, because it is the component opposite the angle.

v_y = 25\sin 30^\circ = 25 \times 0.5 = 12.5 \text{ m s}^{-1}

Final answer: $12.5$ metres per second.

Sources & how we know this

AQA A-level Mathematics (7357) specification — AQA (2017)