Introduction; How to use this book; The Cambridge International AS & A Level Mathematics 9709 syllabus; 1 Motion in a straight line; 1.1 The language of motion; 1.2 Speed and velocity; 1.3 Acceleration; 1.4 Using areas to find distances and displacements; 2 The constant acceleration formulae; 2.1 Setting up a mathematical model; 2.2 The constant acceleration formulae; 2.3 Further examples; 3 Forces and Newton's laws of motion; 3.1 Force diagrams; 3.2 Force and motion; 3.3 Pulleys; 3.4 Reviewing a mathematical model: air resistance 4 Applying Newton's second law along a line4.1 Newton's second law; 4.2 Newton's second law applied to connected objects; 5 Vectors b; 5.1 Adding vectors; 5.2 Components of a vector; 5.3 The magnitude and direction of vectors written in component form; 5.4 Resolving vectors; 6 Forces in equilibrium and resultant forces; 6.1 Finding resultant forces; 6.2 Forces in equilibrium; 6.3 Newton's second law in two dimensions; 7 General motion in a straight line; 7.1 Using differentiation; 7.2 Finding displacement from velocity; 7.3 The area under a velocity-time graph 7.4 Finding velocity from acceleration7.5 The constant acceleration formulae revisited; 8 A model for friction; 8.1 A model for friction; 8.2 Modelling with friction; 9 Energy, work and power; 9.1 Energy and momentum; 9.2 Work and energy; 9.3 Gravitational potential energy; 9.4 Work and kinetic energy for two-dimensional motion; 9.5 Power; 10 Momentum; 10.1 Linear momentum; 10.2 Conservation of momentum

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