Support · Mathematics Extension 2 11–12 – Year 12 · Applications of calculus to mechanics
Support Derive expressions for velocity both as a function of time and of displacement for vertical resisted motion under the influence of constant gravity, with 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.
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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
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Solve first order differential equations of the form dy/dx = g(y), where possible expressing the solution as a function with y as the subject
Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus Draft mapping
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Explain that if the rate of change of a quantity Q over time t is proportional to the difference Q - P at any instant, then this may be represented by the equation dQ/dt = k(Q - P), where k is a constant
Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.