Educational use only: this calculator models ideal projectile motion (no air resistance, spin, wind, or real-world ballistics effects). It is intended for physics learning and classroom-style estimation.
Trajectory Plot (Idealized)
What This Bullet Trajectory Calculator Does
This page provides a simple projectile-motion calculator that estimates how an object travels through the air using classic mechanics. You enter speed, angle, launch height, and gravity, and the tool estimates total flight time, maximum height, horizontal range, and impact speed.
While the title says “bullet trajectory calculator,” the math shown here is intentionally simplified. It is best used for educational exploration of motion, not for practical firearms decisions.
How the Physics Works
The model treats motion as two independent components: horizontal and vertical.
Core equations
Vertical position: y(t) = h + v sin(θ) t - 0.5 g t²
Time to hit ground is found when y(t) = 0.
- v is initial speed.
- θ is launch angle.
- h is initial height.
- g is gravitational acceleration.
How to Use It
- Enter initial speed in meters per second.
- Enter launch angle in degrees (between 0 and less than 90).
- Enter initial height and gravity value.
- Click Calculate Trajectory to view the result and graph.
Understanding the Outputs
Time of flight
The total time from launch until the projectile reaches ground level.
Maximum height
The highest vertical point reached during flight, based on initial vertical velocity.
Horizontal range
The total horizontal distance traveled before impact under the model assumptions.
Impact speed
The speed magnitude at impact, combining horizontal and vertical velocity components.
Why Real Trajectories Differ
Real ballistic behavior is more complex than this ideal model. In practice, trajectory is affected by:
- Air drag and changing velocity over distance
- Wind and atmospheric conditions
- Projectile shape and stability effects
- Temperature, altitude, and pressure
- Measurement uncertainty and equipment variation
For that reason, this calculator should be treated as a conceptual physics tool only.
Educational Applications
Teachers and students can use this calculator for quick demonstrations of vectors, quadratic motion, and parameter sensitivity. Try changing one input at a time and observe how the arc shifts.