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Projectile Motion Calculator
Calculate trajectory, range, maximum height, and time of flight for projectile motion problems.
Projectile Parameters
Enter initial conditions for the projectile
Initial Velocity (m/s)
Launch Angle (degrees)
Initial Height (m)
Calculate Motion
Projectile Motion Formulas
Velocity Components:
vₓ = v₀ cos(θ)
vᵧ = v₀ sin(θ)
Time of Flight:
t = (vᵧ + √(vᵧ² + 2gh₀)) / g
Maximum Height:
h = h₀ + vᵧ² / (2g)
Range:
R = vₓ × t
Key Points:
• Maximum range occurs at 45° (no air resistance)
• Horizontal velocity remains constant
• Vertical velocity changes due to gravity
• g = 9.81 m/s² (Earth's gravity)
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