Parametric Curves Example

AP Calculus · Axiom Academy

EXAMPLE Parametric Curves Example Analyzing the path of a projectile Using , at t = 0, the projectile is at the origin with 45° angle and 30 m/s velocity The horizontal velocity is constant, while vertical velocity decreases due to gravity (g ≈ 9.8 m/s²) Maximum height occurs when dy/dt = 0 Range is where y = 0 again (projectile lands) Using the parametric derivative formula

This is the written version of the interactive lesson above. See the full AP Calculus course.