Support · Mathematics Extension 2 11–12 – Year 12 · Applications of calculus to mechanics
Support Derive, from Newton’s laws of motion, ∑F = mx¨, the equation for acceleration of a particle moving vertically (upwards or downwards) in a resistive medium and under the influence of constant gravity, where the particle experiences a resistance, R, oppositely directed to the motion, whose magnitude is proportional to the first or second power of the speed
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.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
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.
Recognise that the gravitational force on a mass may be regarded as a constant acting in a downwards direction when the motion of the object is restricted to a small region near the Earth’s surface
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.
Form a slope field for a first order differential equation using graphing applications
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.