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Calcimator

Time of Flight Calculator

Calculate bullet flight time to target from muzzle velocity, ballistic coefficient, and range. See gravity drop and lag time.

About this calculator

This calculator estimates how long a bullet takes to reach a target, using a simplified exponential drag model rather than a full ballistic-table lookup. From the G1 ballistic coefficient, it builds a drag constant, then applies exponential velocity decay (velocity at range = muzzle velocity times e to the power of negative range divided by that drag constant) to estimate the bullet's velocity at the target. Time of flight is then range (converted from yards to feet) divided by the average of the muzzle velocity and the velocity at range -- a reasonable approximation for a roughly-exponential decay curve, but not an exact integral of the true deceleration profile.

For comparison, the calculator also reports "vacuum time of flight" -- how long the bullet would take with zero air resistance, using muzzle velocity the whole way -- and "lag time," the difference between the real (drag-affected) time and the vacuum time, which quantifies how much air resistance slows the bullet down over that distance. Gravity drop is computed from time of flight using standard gravitational acceleration (drop = 1/2 x g x t^2, with g approximated as 386.1 in/s^2), independent of any horizontal aiming compensation a shooter would actually apply -- it represents how far the bullet falls below the bore line if fired perfectly level, the raw physical quantity a scope adjustment is built to counteract. Because the drag model is simplified, treat the results as directionally useful for comparing loads or ranges rather than a certified ballistic solution.

Inputs

fps
yds

Results

Time of Flight

0.65 s

Vacuum TOF (no drag)0.55 s
Lag Time (drag effect)0.11 s
Velocity at Range1,862 fps
Gravity Drop81.7 in
Gravity Drop (Feet)6.81 ft
How to Use This Calculator
  1. Enter Muzzle Velocity, Ballistic Coefficient (G1), and Range.
  2. Review the Time of Flight (s) result.
  3. Check Gravity Drop (in / ft) to see how far the bullet falls below the bore line over that distance if aimed perfectly level.
  4. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Range

RangeTime of Flight
2500.3 s
3750.47 s
7501.05 s
1,2501.98 s

What each input means

Muzzle Velocity
Bullet muzzle velocity.
Ballistic Coefficient (G1)
G1 ballistic coefficient.
Range
Distance to target in yards.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    Muzzle Velocity = 2750, Ballistic Coefficient (G1) = 0.45, Range = 500 = 3 input(s) provided
  2. Calculate Time of Flight
    Time of Flight = t
    0.6505 = 0.6505
  3. Calculate Vacuum TOF
    Vacuum TOF
    0.5455 = 0.5455
  4. Calculate Lag Time
    Lag Time
    0.105 = 0.105

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why is time of flight different from the vacuum time of flight?

Vacuum time of flight assumes the bullet travels at a constant muzzle velocity the entire distance with zero air resistance, which never happens in reality. Actual time of flight accounts for the bullet decelerating due to drag, so it is always longer than the vacuum figure -- the difference between the two is reported separately as lag time, which grows with range and shrinks with a higher ballistic coefficient.

How does a higher ballistic coefficient affect flight time?

A higher ballistic coefficient means the bullet sheds velocity more slowly to drag, so its velocity at range stays closer to the muzzle velocity and its average velocity over the flight is higher. Because time of flight is range divided by average velocity, a higher ballistic coefficient at the same muzzle velocity and range produces a shorter (faster) flight time.

What does the gravity drop figure actually represent?

Gravity drop is how far the bullet falls below the bore line over the course of its flight if aimed perfectly level, calculated from time of flight using standard gravitational acceleration. It does not include any upward angle a shooter dials into their scope to compensate -- it's the raw physical drop that a scope's elevation adjustment is designed to counteract, not the bullet's actual point of impact relative to a compensated aim point.

Does increasing the range always increase both time of flight and gravity drop?

Yes -- across this calculator's full range input, both figures increase as range increases. Time of flight rises because the bullet has farther to travel and is also decelerating along the way, and gravity drop rises even faster because it scales with the square of time of flight, so drop grows disproportionately at longer ranges.

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