Variable Acceleration Maths Lessons & Worksheets (A-Level)

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This page brings together ready-to-teach variable acceleration maths lessons for A-Level. Browse the full collection, including using differentiation and integration in one-dimensional kinematics, maxima and minima in motion problems, and extending the ideas to more advanced variable-acceleration and vector set-ups, with each lesson designed to support clear modelling, independent practice and exam preparation.

  • Ready-to-teach variable acceleration lessons
  • Presentations, worksheets and structured practice
  • A-Level Mathematics Mechanics 1 and Mechanics 2 coverage
  • Scheme of work links for curriculum planning

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Jump to:  A-Level Variable Acceleration

Variable Acceleration: A-Level

These A-Level lessons link calculus to kinematics in a straight line and in two dimensions, moving from scalar functions in Mechanics 1 to more demanding variable-acceleration and vector work in Mechanics 2. Topics include:

  • Using differentiation to find velocity and acceleration as functions of time from a given displacement
  • Interpreting displacement–time ideas with calculus, including using maxima and minima to find turning points in motion
  • Using integration with velocity functions to find displacements, distances, and time intervals in variable-acceleration one-dimensional set-ups
  • Analysing one-dimensional motion with variable acceleration where the displacement is given by piecewise or non-standard functions
  • Applying vector differentiation: relating velocity to acceleration, including the magnitude of acceleration/force in vector form
  • Applying vector integration: finding position from velocity with a given initial position and modelling motion in two dimensions with vectors

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Ages 16 +

Differentiation with Vectors

Ages 16 +

Integration with Vectors

Ages 16 +

Maxima and Minima Problems

Ages 16 +

Motion with Variable Acceleration

Ages 16 +

Using Differentiation to Model Motion

Ages 16 +

Using Integration with Kinematics

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