Calculadoras

Projectile Motion Calculator

Calculate projectile trajectory, range, max height, and flight time — with launch angle slider, trajectory visualization, and planetary gravity presets

Launch Parameters

45°90°
Range
254.84 m
Max height: 63.71 m at t = 3.604 s
Flight Time
7.208 s
Max Height
63.71 m
Impact Velocity
50.00 m/s
Impact Angle
45.0°
Vx (horizontal)
35.36 m/s
Vy (vertical)
35.36 m/s

Trajectory

Projectile Motion Formulas

Horizontal distance
x(t) = v₀ × cos(θ) × t
Vertical position
y(t) = h₀ + v₀ × sin(θ) × t − ½gt²
Range (h₀ = 0)
R = v₀² × sin(2θ) / g
Max height
H = v₀² × sin²(θ) / (2g) + h₀
Flight time (h₀ = 0)
T = 2 × v₀ × sin(θ) / g
Optimal angle
θ = 45° (for max range, h₀ = 0)

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Projectile Motion Calculator — Free Online Tool | FreeTool24 | FreeTool24