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Extension 2 · Year 12 · Module 16

Applications of Calculus to Mechanics

Modelling motion with calculus: velocity and acceleration as derivatives, the three forms of acceleration ($f(t), f(x), f(v)$), simple harmonic motion (derivation, energy, applications), projectile motion with air resistance ($\propto v$ and $\propto v^2$), resisted motion (horizontal, rising, falling), and circular motion (uniform and non-uniform).

16lessons
MEX-M1NESA outcome
8–10hrs study
Start Lesson 1 →
1
Velocity & Acceleration as Derivatives
2
Acceleration as $f(x)$ via $v\,dv/dx$
3
Acceleration as $f(v)$
4
Acceleration as $f(t)$
5
SHM, Derivation
6
SHM, Solving & Applications
7
SHM, Energy & Velocity
8
Projectile Motion, Review
9
Projectile with Resistance $\propto v$
10
Projectile with Resistance $\propto v^2$
11
Resisted Motion, Horizontal
12
Resisted Motion, Vertical Rising
13
Resisted Motion, Vertical Falling
14
Circular Motion, Uniform
15
Circular Motion, Non-Uniform
16
Module 16 Synthesis & Exam Technique