Cambridge International AS & A Level Mathematics Mechanics
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Description
Contents
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Language
English
ISBN
9781510420946
Cover
Title Page
Copyright
Contents
Introduction
How to use this book
The Cambridge International AS & A Level Mathematics
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 line
4.1 Newton’s second law
4.2 Newton’s second law applied to connected objects
5 Vectors
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 acceleration
7.5 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
Answers
Index
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