ToolHub

Projectile Motion Calculator

Analyze projectile motion by calculating range, maximum height, time of flight, and trajectory path. This calculator uses fundamental kinematics equations to visualize motion under gravity with energy distribution and trajectory graphs.

Formulas Used

  • Horizontal Velocity: v₀x = v₀ cos(θ)
  • Vertical Velocity: v₀y = v₀ sin(θ)
  • Time of Flight: t = (-b + √(b² - 4ac)) / (2a)
  • Maximum Height: h = y₀ + (v₀y² / 2g)
  • Range: R = v₀x × t
  • Trajectory: y = Ax² + Bx + C

Use Cases

  • - Ballistics and projectile analysis
  • - Sports physics (throwing, shooting)
  • - Engineering simulations
  • - Physics assignments and lab problems
  • - Motion visualization and trajectory prediction

Enter Projectile Parameters

Energy Distribution

Key Metrics Comparison

Trajectory Path

Calculation History