Time of Flight in Ballistics

The Master Clock of a Trajectory

Time of flight is the elapsed time a projectile spends traveling from the muzzle to a given distance. It is one of the most powerful variables in exterior ballistics because so many downrange effects accumulate in direct proportion to how long the projectile is in the air. Understanding it turns a table of numbers into a story about cause and effect.

Why It Grows Faster Than Distance

Time of flight does not increase evenly with distance. Because drag continuously bleeds off velocity, each additional segment of range is covered more slowly than the one before it. A projectile might reach 300 yards in half a second but need noticeably more than another half second to reach 600 yards, so time accumulates disproportionately toward the far end of the trajectory.

The Link to Gravity Drop

Gravity accelerates a projectile downward at a constant rate regardless of its forward speed. Drop is governed by the square of the time in flight, so doubling the time of flight roughly quadruples the vertical fall from an unaccelerated path. This is the single clearest reason distant targets require so much more elevation than near ones.

The Link to Wind Deflection

Crosswind deflection depends on how long the wind has to act and, more precisely, on the lag between the projectile's actual flight time and the time it would take in a vacuum. A projectile that holds velocity well shortens its flight time and reduces the accumulated sideways push, which is why aerodynamic efficiency quiets wind drift.

Why Faster and Sleeker Designs Win

Higher muzzle velocity and a more streamlined shape both shorten time of flight to any given distance. Less time aloft means less exposure to gravity and wind, producing a flatter path and steadier hits. Comparing time-of-flight figures across projectiles reveals the underlying reason one design outperforms another downrange.

Worked Example

Suppose a projectile reaches 500 yards in about 0.6 seconds and a slower one reaches the same distance in 0.75 seconds. Because drop scales with the square of time, the ratio of drops is roughly 0.75 squared over 0.6 squared, or about 1.56. The slower projectile falls more than half again as far over that distance, purely because it lingered longer in flight.

A Common Misconception

Many readers assume time of flight scales linearly with distance, expecting 400 yards to take exactly twice as long as 200 yards. In reality drag makes the later portion of the trajectory slower, so time accumulates more steeply than range. Treating the relationship as linear consistently underestimates both drop and drift at long distance.

Explore the glossary.

Source: U.S. Government Publishing Office (GPO) Public Field Manual Records — Federal Public Documentation Archive. Refer to the original for exact language.