Projectile Motion Simulator

Adjust parameters and launch to visualize projectile trajectories in real time.

Controls

45°
45°90°
30 m/s
1 m/s50 m/s100 m/s
9.81 m/s²
1.0 m/s²9.81 m/s²20.0 m/s²

Calculated Values

Maximum Height22.94 m

H = v² sin²(θ) / (2g) = 30² × sin²(45°) / (2 × 9.81)

Range91.74 m

R = v² sin(2θ) / g = 30² × sin(2 × 45°) / 9.81

Time of Flight4.32 s

T = 2v sin(θ) / g = 2 × 30 × sin(45°) / 9.81

Velocity Components
Horizontal (vₓ)

21.21 m/s

Vertical (vỴ)

21.21 m/s

Equations of Motion

Horizontal Positionx(t) = v₀ cos(θ) · t
Vertical Positiony(t) = v₀ sin(θ) · t − ½g · t²
Horizontal Velocityvₓ(t) = v₀ cos(θ)
Vertical VelocityvỴ(t) = v₀ sin(θ) − g · t