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Projectile Motion

Physics

Explore trajectories with dynamic scaling - view adjusts to projectile range

Launch Controls
45°
5°45° (max range)85°
30 m/s
5 m/s~108 km/h100 m/s
0 m

Environment

9.81 m/s²
0.5
1.0 kg
1.0x

Display Options

Quick Presets

Physics Data

Initial Conditions

V₀ₓ (horizontal)
21.21 m/s
V₀ᵧ (vertical)
21.21 m/s

Theoretical (No Air Drag)

Max Range91.7 m
Max Height22.9 m
Flight Time4.32 s

Energy Analysis

Kinetic Energy450.0 J
Potential Energy0.0 J
Total Energy450.0 J

Key Formulas

x(t) = v₀·cos(θ)·t
y(t) = h₀ + v₀·sin(θ)·t - ½gt²
Range = v₀²·sin(2θ) / g
Max H = h₀ + v₀²·sin²(θ) / 2g
F_drag = ½ρACᵈv²
Energy_lost = F_drag · distance