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Edexcel AS and A Level Modular Mathematics Mechanics 4 M4

Edexcel AS and A Level Modular Mathematics Mechanics 4 M4

Keith Pledger

(2016)

Additional Information

Book Details

Abstract

Edexcel's own course for the GCE specification. Providing the best match to the specification, this book motivates students by making maths easier to learn. Written by chief examiners, it provides student-friendly worked examples and solutions, leading to a wealth of practice questions. Sample past exam papers are included for thorough exam preparation, and regular review sections help to consolidate learning. Opportunities for stretch and challenge are presented throughout the course, and an interactive FREE LiveText CD-ROM contains everything students need to motivate and prepare themselves. The all new Exam Cafe gives students revision advice, key ideas summaries and an abundance of exam practice, with hints and tips.


Table of Contents

Section Title Page Action Price
Cover Cover
Contents ii
About this book iv
Chapter 1: Relative motion 1
1.1: Relative displacement 2
1.2: Problems involving relative velocity 3
1.3: Problems involving water current and wind effects 4
1.4: Problems involving one body intercepting (or colliding with) another body 9
1.5: Problems involving closest approach 13
1.6: Problems involving setting a course to achieve closest approach 18
Summary of key points 23
Chapter 2: Elastic collisions in two dimensions 24
2.1: Problems involving the oblique impact of a smooth sphere with a fixed surface 25
2.2: Problems involving the oblique impact of two smooth spheres 30
Summary of key points 40
Chapter 3: Resisted motion of a particle moving in a straight line 41
3.1: Using calculus when a particle moves in a straight line against a resistance which varies with the speed of the particle 42
3.2: Modelling the resistance to an object moving in a straight line under gravity using functions of velocity 48
3.3: Using calculus when a particle, with an engine working at a constant rate, moves in a straight line against a resistance which varies with the speed of the particle 55
Summary of key points 60
Review Exercise 1 61
Chapter 4: Damped and forced harmonic motion 73
4.1: Investigating the motion of a particle which is moving under the influence of a restoring force proportional to the particle’s displacement and a resistance which is proportional to its speed 74
4.2: Investigating the motion of a particle which is subject to the same two forces as in the previous section but is also forced to oscillate with a frequency other than its natural one 82
Summary of key points 90
Chapter 5: Stability 91
5.1: Using potential energy to find positions of equilibrium and to test for stability 92
Summary of key points 101
Review Exercise 2 102
Examination style paper 113
Answers 115
Index 119