Chapter 6 - Mechanics
This is one of 7 courses which cover the Extension 2 Mathematics Syllabus in NSW.
This set of 7 courses covers the Extension 2 Mathematics Syllabus in NSW.
This is a free course.
Course curriculum
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1
Changes to this content in the 2024 syllabus
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Mechanics intro
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2
6.1 Motion in a Straight Line
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2024 syllabus changes for this lesson
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Calculus in Mechanics
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Example 1
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Example 1 Video
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Solving Differential Equations
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Example 2
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Example 2 Video
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A note on integration
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Acceleration and Velocity
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Proof 3
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Proof 3 Video
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Example 4
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Example 4 Video
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Example 5
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Example 5 Video
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Example 6
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Example 6 Video
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Exercise 6.1
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Exercise 6.1 Solutions
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3
6.2 Motion Without Resistance
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2024 syllabus changes for this lesson
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Further Motion in a Straight Line
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Unit of Force
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Newton's Laws
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Example 1
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Example 1 Video
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Example 2
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Example 2 Video
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Gravity
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Example 3
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Example 3 Video
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Exercise 6.2
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Exercise 6.2 Solutions
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4
6.3 Simple Harmonic Motion
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2024 syllabus changes for this lesson
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Understanding Simple Harmonic Motion
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Terminology and Definitions
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Equations of Motion
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Proof 1
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Proof 1 Video
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The Purpose of n and alpha in the Equation of Motion
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Example 2
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Example 2 Video
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Example 3
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Example 3 Video
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Example 4
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Example 4 Video
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Example 5
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Example 5 Video
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Graphs of SHM
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Example 6
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Example 6 Video
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Example 7
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Example 7 Video
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Exercise 6.3
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Exercise 6.3 Solutions
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5
6.4 Harder Simple Harmonic Motion
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2024 syllabus changes for this lesson
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Alternative Equations of Motion
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Example 1
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Example 1 Video
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Velocity as a Function of Displacement
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Proof 2
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Proof 2 Video
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Example 3
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Example 3 Video
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Example 4
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Example 4 Video
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Example 5
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Example 5 Video
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Exercise 6.4
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Exercise 6.4 Solutions
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6
6.5 Horizontal Resisted Motion
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2024 syllabus changes for this lesson
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Horizontal Resisted Motion
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Resistance and how it is Modelled
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Example 1
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Example 1 Video
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Explaining Example 1
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Example 2
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Example 2 Video
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Explaining Example 2
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Example 3
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Example 3 Video
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Explaining Example 3
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Exercise 6.5
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Exercise 6.5 Solutions
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7
6.6 Vertical Resisted Motion
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2024 syllabus changes for this lesson
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Vertical Resisted Motion
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Constant Gravitational Acceleration
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Terminal Velocity
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Understanding Terminal Velocity
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Example 1
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Example 1 Video
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Explaining Example 1
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Example 2
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Example 2 Video
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Exercise 6.6
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Exercise 6.6 Solutions
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8
6.7 Further Projectile Motion - Cartesian Equations
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2024 syllabus changes for this lesson
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Cartesian Equations in Extension 1
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Example 1
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Example 1 Video
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Cartesian Equations in Extension 2
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Proof 2
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Proof 2 Video
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Example 3
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Example 3 Video
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Example 4
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Example 4 Video
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Example 5
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Example 5 Video
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Exercise 6.7
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Exercise 6.7 Solutions
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9
6.8 Projectile Motion with Resistance
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2024 syllabus changes for this lesson
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Particles that Rise then Fall
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Example 1
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Example 1 Video
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Resisted Motion at an Angle to the Horizontal
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Example 2
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Example 2 Video
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Splitting Air Resistance into Components
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Quadratic Drag
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Vertical and Horizontal Acceleration
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Example 3
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Example 3 Video
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A Note on Example 3
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Exercise 6.8
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Exercise 6.8 Solutions
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Instructor
Steve Howard
Steve Howard has inspired and equipped hundreds of Maths teachers with his In-Depth Senior Mathematics courses, providing all the tips, examples and resources to teach the HSC syllabus with confidence. He loves to discover the most efficient techniques for solving mathematical problems, by analysing other experts' solutions or by developing his own approaches when he finds a better way. As a student, Steve did Unit 4 Mathematics, gaining a mark of 198/200, before training as an actuary. After retraining as a teacher, Steve has taught Maths at Cowra High School, NSW, for 28 years. He has also taught gifted and talented students online through Xsel and Aurora College, and developed all student course material for TTA's Year 12 Extension Maths Portal.