Projectile Motion Simulator

Explore kinematics — adjust parameters and visualize the trajectory in real time.

Parameters

Initial Velocity v₀ m/s

Launch Angle θ degrees

Initial Height h₀ m

Gravity g m/s²

Computed Results

Time of Flight T

—

seconds

Maximum Height H

—

meters

Range R

—

meters

Impact Speed

—

m/s

Impact Angle

—

degrees below horizontal

Trajectory Animation

t = 0.00 s

x = 0.00 m

y = 0.00 m

v = 0.00 m/s

Kinematic Equations Used

Time of flight: T = (v₀sinθ + √((v₀sinθ)² + 2gh₀)) / g

Max height: H = h₀ + (v₀sinθ)² / (2g)

Range: R = v₀cosθ × T

Horizontal: x(t) = v₀cosθ · t

Vertical: y(t) = h₀ + v₀sinθ · t − ½g · t²

Velocity x: vₓ = v₀cosθ

Velocity y: vᵧ(t) = v₀sinθ − g · t

Impact speed: vf = √(vₓ² + vᵧ(T)²)