Cover; Title Page; Copyright Page; Contents; Introduction; Chapter 1 Motion along a line; 1 From drop-towers to Oblivion -- some applications of linear motion; 2 Positions along a line; 2.1 Simplification and modelling; 2.2 Describing positions along a line; 2.3 Position-time graphs; 2.4 Displacement-time graphs; 2.5 A note on graph drawing; 3 Uniform motion along a line; 3.1 Describing uniform motion; 3.2 Constant velocity and the gradient of the position-time graph; 3.3 Initial position and the intercept of the position-time graph; 3.4 The equations of uniform motion
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3.3 The simple harmonic motion equation3.4 The importance of simple harmonic motion; 4 Orbital motion; 4.1 A note on the ellipse; 4.2 Kepler's laws; 4.3 Position, velocity and acceleration in orbital motion; 4.4 Transfer orbits and interplanetary flights; 5 Closing items; Chapter 4 Consolidation and skills development; 1 Introduction; 2 Overview of Chapters 1 to 3; 3 Introducing Physica; 3.1 Advice about Physica; 3.2 Features of Physica; 3.3 Getting started on Physica; 4 Review of skills; 4.1 Mathematical skills; 4.2 IT skills; 5 Basic skills and knowledge test; 6 Interactive questions
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3.5 Velocity-time and speed-time graphs3.6 The signed area under a constant velocity-time graph; 3.7 A note on straight-line graphs and their gradients; 4 Non-uniform motion along a line; 4.1 Instantaneous velocity; 4.2 Instantaneous acceleration; 4.3 A note on functions and derivatives; 4.4 Velocity and acceleration as derivatives; 4.5 The signed area under a general velocity-time graph; 5 Uniformly accelerated motion along a line; 5.1 Describing uniformly accelerated motion; 5.2 The equations of uniformly accelerated motion; 5.3 The acceleration due to gravity; 5.4 Drop-towers revisited
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4.6 A note on quadratic equations4.7 Launching bodies from a height; 5 Motion in space; 5.1 From two dimensions to three; 5.2 Vectors in space; 5.3 Some examples of motion in space; 6 Closing items; Chapter 3 Periodic motion; 1 Earth satellites -- an example of periodic motion; 2 Circular motion; 2.1 Some examples of circular motion; 2.2 Positions on a circle; 2.3 Angular velocity and angular speed; 2.4 Centripetal acceleration; 2.5 Circular Earth orbits; 3 Simple harmonic motion; 3.1 Some examples of simple harmonic motion; 3.2 Velocity and acceleration in simple harmonic motion
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6 Closing itemsChapter 2 Motion in a plane and in space; 1 Long jumping -- an example of motion in a plane; 2 Position and displacement in a plane; 2.1 From one dimension to two; 2.2 Position and position vectors; 2.3 Displacement and displacement vectors; 2.4 A note on vectors and scalars; 3 Velocity and acceleration in a plane; 3.1 Velocity in a plane; 3.2 Acceleration in a plane; 4 Projectile motion; 4.1 Introducing projectile motion; 4.2 The equations of projectile motion; 4.3 The time of flight of a projectile; 4.4 The range of a projectile; 4.5 The trajectory of a projectile
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SUMMARY OR ABSTRACT
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Describing Motion: The Physical World provides the quantitative description of a variety of physically important motions. Starting with simple examples of motion along a line, the book introduces key concepts, such as position, velocity, and acceleration, using the fundamental rules of differential calculus. Topics include the free-fall motion of m