Support · Mathematics Extension 2 11–12 – Year 12 · Applications of calculus to mechanics
Support Solve vertical resisted motion problems using the expressions derived for acceleration, velocity and displacement, including finding the maximum height reached by a particle projected vertically upwards and the time taken to reach this maximum height, and finding the time taken for a particle to return to the level from which it was projected and its terminal velocity
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
Determine features of the flight of a projectile, including time of flight, maximum height, range, instantaneous velocity and impact velocity
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.
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.
Solve problems relating to the path of a projectile in which the initial velocity and/or angle of projection may be unknown, in a variety of contexts
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.