Support · Mathematics Extension 2 11–12 – Year 12 · Applications of calculus to mechanics
Support Define simple harmonic motion as motion in which acceleration is proportional to, and in the opposite direction to, displacement, that is x¨ = - n²(x - c), where x - c is the displacement of a particle from the centre of motion at c and x¨ is the acceleration
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
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Prerequisite dot points
Derive and use the equations of motion of a projectile in vector form by splitting 2D motion into horizontal and vertical components to solve problems on projectiles
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.
Graph the function Q = P + Ae^(kt), where k > 0 and k and A > 0 and A, with and without graphing applications, and identify any asymptotes
Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
Solve first order differential equations of the form dy/dx = f(x)
Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.