Motion in Vector Form and Projectile Motion

What this note covers

1. Motion in Vector Form: r(t) and the Cartesian Path
2. Velocity and Acceleration Vectors, Including Non-Constant Velocity
3. Relative Velocity: Constant Crosswinds and Currents
4. Setting Up the Model: Assumptions and Initial Conditions
5. Deriving Displacement and Velocity Using Vectors and Integration
6. Key Results: Time of Flight, Range, and Maximum Height
7. The Cartesian Equation of the Path
8. Worked Example: Full Analysis of a Projectile
9. Finding the Launch Angle to Hit a Target
10. Speed of the Projectile and Direction of Motion

10 sections · 15 key terms & formulas · 8 common mistakes

Common questions