ToolHub

Advanced Projectile Motion Visualizer

Visualize projectile motion with real-time animation, including air resistance, velocity vectors, and acceleration effects. Analyze how gravity, drag, and initial conditions influence trajectory, range, and maximum height.

Formulas Used

  • Horizontal Velocity: vₓ = v₀ cos(θ)
  • Vertical Velocity: vᵧ = v₀ sin(θ)
  • Position (no drag): y = y₀ + vᵧt − ½gt²
  • Range: R = vₓ × t
  • Max Height: h = y₀ + (vᵧ² / 2g)
  • Drag Force: F = -k v
  • Acceleration: aₓ = -k vₓ, aᵧ = -g - k vᵧ

Use Cases

  • - Real-time projectile motion visualization
  • - Understanding air resistance effects
  • - Physics simulations and teaching tools
  • - Ballistics and trajectory analysis
  • - Engineering and motion modeling

Calculation History