Dynamics & Kinematics
Projectile Motion Simulator
Examine kinematics of a classical projectile subject to constant gravitational deceleration. Vary heights, initial velocity magnitudes, and angles to track full range trajectories.
Launch Speed
45 m/s
Vx = 34.5 m/s
Flight angle
40°
Vy = 28.9 m/s
Simulation Mode
Real-time
CSV Exportable
Parameters
Animated projectile flight
Kinematic Motion Model
Horizontal Position
x(t) = v₀ * cos(θ) * t
Vertical Position
y(t) = h₀ + v₀ * sin(θ) * t - 0.5 * g * t²
Flight Duration
t_flight = (v₀*sin(θ) + sqrt((v₀*sin(θ))² + 2*g*h₀)) / g
Max height attained: 67.6 m.
Gravity is constant at g = 9.81 m/s² (Earth standard; ignores air resistance).
Velocity components at current moment: Vx = 34.5 m/s, Vy = 28.9 m/s.
Kinematics Trajectory Canvas
Horizontal Range
229.7m
Max Altitude
67.6m
Time of Flight
6.66s
Instantaneous Speed
45.0m/s
Altitude Trajectory Profile
Kinematic Trajectory Matrix
| Time (s) | Distance X (m) | Height Y (m) | Speed (m/s) |
|---|---|---|---|
| 0.00 | 0.0 | 25.0 | 45.0 |
| 0.56 | 19.1 | 39.5 | 41.7 |
| 1.11 | 38.3 | 51.1 | 38.9 |
| 1.67 | 57.4 | 59.6 | 36.7 |
| 2.22 | 76.5 | 65.0 | 35.2 |
| 2.78 | 95.7 | 67.5 | 34.5 |
| 3.33 | 114.8 | 66.9 | 34.7 |
| 3.89 | 134.0 | 63.3 | 35.7 |
| 4.44 | 153.1 | 56.7 | 37.5 |
| 5.00 | 172.2 | 47.1 | 39.9 |
| 5.55 | 191.4 | 34.4 | 42.9 |
| 6.11 | 210.5 | 18.7 | 46.4 |
| 6.66 | 229.7 | 0.0 | 50.1 |