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ATARMAxxing · SACE Specialist Mathematics revision notes

Polynomial parameterisations, uniform motion and free flight

Polynomial parameterisations, uniform motion and free flight
Topic 6: Rates of change and differential equations · Subtopic 6.3: Pairs of varying quantities — polynomials

What this note covers

  1. Eliminating a parameter
  2. Velocity and position
  3. Projectile model
  4. Maximum height
  5. Clearance condition
  6. Cartesian trajectory
  7. Polynomial parameterisations: domain, velocity and a traced parabola
  8. Projectile motion: exact flight, clearance and the Cartesian trajectory

8 sections · 10 key terms & formulas · 6 common mistakes

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