Physics
Projectile Motion Calculator
Calculate trajectory, range, maximum height, and time of flight for projectiles launched at various angles
Range40.77 mView results
m/s
°
m/s²
m
Real-time Results
Range
40.77m
The horizontal distance traveled by the projectile
Maximum Height
10.19m
The maximum height reached by the projectile
Time of Flight
2.883s
The total time the projectile is in the air
Horizontal Velocity (vx)
14.142m/s
Constant throughout flight
Initial Vertical Velocity (vy)
14.142m/s
Vertical component at launch
Trajectory Waypoints
Height at key horizontal positions
View details (9)
| Item | Value |
|---|---|
| x = 0.0 m | y = 0.00 m |
| x = 5.1 m | y = 4.46 m |
| x = 10.2 m | y = 7.65 m |
| x = 15.3 m | y = 9.56 m |
| x = 20.4 m | y = 10.19 m |
| x = 25.5 m | y = 9.56 m |
| x = 30.6 m | y = 7.65 m |
| x = 35.7 m | y = 4.46 m |
| x = 40.8 m | y = 0.00 m |
Supported inputs
| Input | Description |
|---|---|
| Initial Velocity (m/s) | Enter the initial velocity of the projectile |
| Launch Angle (°) (°) | Angle above the horizontal (0°–90°) |
| Gravitational Acceleration (m/s²) (m/s²) | Earth = 9.81, Moon = 1.62, Mars = 3.72 |
| Initial Height (m) | Enter the height from which the projectile is launched |
Formula
vx = v₀·cos(θ) vy = v₀·sin(θ) Range = vx × T Max Height = h₀ + vy² / (2g) Time of Flight (T) = (vy + √(vy² + 2g·h₀)) / g
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