Online Projectile Motion Calculator
This calculator computes projectile motion parameters launched at an angle to the horizontal. Great for physics mechanics, kinematics problems, and checking ballistic calculations.
Projectile Motion Calculator
Compute trajectory, flight range, peak height, and impact speed with interactive SVG parabola
Trajectory Results
How to use
- Enter initial launch velocity and launch angle above horizontal.
- Optionally specify initial launch height or custom gravitational acceleration.
- View computed maximum height, total flight time, and horizontal trajectory range.
Calculation Example
For a projectile launched at 20 m/s at 45° above horizontal (g = 9.81 m/s²):
Flight range: ≈ 40.77 m.
Maximum peak height: ≈ 10.19 m.
Total duration of flight: ≈ 2.88 s.
Assumes uniform gravity without aerodynamic drag.
Calculation Methodology
Motion is decomposed into independent horizontal and vertical components. Horizontal velocity remains constant, while vertical velocity experiences constant gravitational acceleration g.
Frequently Asked Questions
What factors determine projectile range?
Launch speed, launch angle, starting altitude, and local gravitational acceleration.
Which angle yields the furthest distance?
From level ground in a vacuum, a 45-degree angle achieves the maximum theoretical horizontal distance.
Is air resistance included in this calculation?
The standard physics formula models motion in a vacuum. Real-world air resistance reduces both peak altitude and flight distance.
Can launch height above the ground be included?
Yes, setting an elevated initial height recalculates total hang time and extended impact distance.
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