What is the difference between target travel and lateral offset?

Target travel is the full distance covered during intercept time. Lateral offset is only the component perpendicular to the initial line of sight.

Why do 0° and 180° show zero lateral offset but non-zero travel?

All movement is along the initial line of sight at those angles. The target still travels, but it has no sideways displacement.

Does this model real-world projectile flight?

No. It is an idealized game/simulation solver. It excludes gravity, drag, wind, acceleration, latency, terrain, and collision size.

When is an intercept unreachable?

The tool reports no intercept when the quadratic has no finite positive root, such as a target moving directly away at or above projectile speed.

Projectile Lead Calculator

Calculate intercept time, target travel, lateral offset, and aim angle for moving targets in games and simulations.

Game / Simulation Inputs

Game Projectile Preset

Projectile Speed (m/s)

Game Target Preset

Target Speed

Distance to Target (m)

Movement Angle: 90°

0° approaching 90° crossing 180° departing

Scope, source & privacy

This idealized game/simulation model assumes constant speeds and straight-line motion in 2D. It excludes gravity, drag, wind, acceleration, latency, terrain, and collision size.

NASA explains why real flight with aerodynamic drag is more complex in its ballistic flight equations.

The calculation runs locally in this browser. The tool does not submit these input values to a calculation service.

Set your inputs and press Compute Intercept

Formula: solve (projectile speed² − target speed²)t² + 2 × distance × target speed × cos(angle)t − distance² = 0 for the smallest finite positive time. Target travel and lateral offset are reported separately.

Summary

Calculate intercept time, target travel, lateral offset, and aim angle for moving targets in games and simulations.

How it works

Specify projectile speed in m/s, distance in meters, and target speed in m/s or km/h.
Set the movement angle: 0° approaches, 90° crosses perpendicular to the initial line of sight, and 180° moves away.
The solver selects the smallest finite positive root of the constant-velocity intercept equation.
Total target travel is Vt × t; lateral offset is |Vt × sin(θ) × t|.
If no positive-time intercept exists, the result is reported as unreachable rather than Infinity or NaN.

Use cases

Tune predictive leading for game AI and turret simulations.
Compare crossing, approaching, and departing game targets.
Test whether a game projectile can intercept a faster target.
Validate constant-velocity 2D vector-intercept exercises.

Frequently Asked Questions

Last updated: 2026-09-22 · Reviewed by Nham Vu