Sound Barrier & Flight Time Calculator
Sound moves at about 1,125 fps and no bow gets an arrow anywhere near that, so the crack of the shot reaches a deer before the arrow does at every yardage. What decides the shot is whether the animal's reaction finishes first. This jump-the-string simulator races both in slow motion, calls it HIT or JUMPED in milliseconds, and maps the yardage where a startled whitetail, elk or boar starts winning.
ArcheryEra's calculators are built and maintained by a mechanical engineer with 8+ years of archery-domain experience. Models, assumptions and limitations are shown, not hidden.
Want to see the exact formulas, drag constants and reaction-time calibration behind this simulator? Read our Methodology & Assumptions →
Quick Tools · Jump-the-String Simulator
Does your arrow beat the animal's reaction, or does it jump the string?
Pick a preset or set your own numbers. Every readout updates instantly; press Simulate the shot to watch the race play out in slow motion.
One-tap presets
350 fps, 35 yd, alert whitetail. Pick a preset or dial in your own numbers below.
Useful? This one is free, and staying free. If it settled an argument at the range or in the comments, you can put a coffee towards the hosting.
Buy Me a Coffee🗣️ Got a shot the model gets wrong, or a reaction time you have actually seen on video?
Join r/ArcheryEra →Your shot
The deceleration coefficient: the share of speed the arrow sheds per meter of flight. Same constants as the Arrow Trajectory & Sight-Pin Visualizer, so a fixed versus mechanical broadhead choice shows up here too.
The animal
Reaction time is how long the animal needs, after hearing the shot, before its body actually starts to move. These are modeled starting points; override them with your own.
The air
Speed of sound: 1,126 fps (343 m/s)
The real flight is a fraction of a second, so the race plays back slowed down. The clock above always shows real milliseconds.
The millisecond timeline
Critical distance · the dead-zone scale
Argument-Winner Card · paste it into the thread
- Setup
- —
- Animal
- —
- Sound arrives
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- Animal starts moving
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- Arrow lands
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- Dead zone starts
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The text is built for Facebook, Reddit, forum replies and messages. The PDF is the same card as a one-page file you can attach or print. Both carry a link that reopens this exact shot.
Model notice. This simulator is a simplified mathematical model, not a measurement and not a prediction. Real animals, weather, terrain, noise, equipment and shot execution add more variables than any calculator can hold, so no result here guarantees what will happen in the field. Use the numbers to compare setups and settle debates, never as the only basis for taking a shot, and always follow your local hunting regulations and ethical shot-placement practices. ArcheryEra provides this tool for general information only and accepts no liability for decisions made from it.
Guide
Which Wins the Race: the Sound of Your Shot or Your Arrow?
💡 Quick Summary
Core Insight: Sound covers about 1,125 feet every second at 68°F. A 300 fps arrow runs at roughly a quarter of that and slows down downrange, so an animal hears every shot before the arrow arrives. The outcome is decided by the animal's reaction time, not by who is faster.
Ideal For: Bowhunters settling the fast-bow-versus-quiet-bow argument with numbers, and anyone deciding how far is too far on an animal that is already on edge.
How Far Can You Shoot Before a Deer Can Beat the Arrow?
Inside roughly 7 to 14 yards at 280 fps, the arrow gets there before a whitetail has finished reacting. Past that, the deer has time to start moving before impact. Whether it gets far enough to matter is a separate question.
The matrix below is this tool's own engine run for a whitetail, hunting vanes with a fixed broadhead and 68°F air. Each cell is the last yard where the arrow still arrives first.
📊 1-Minute Decision Matrix · Where the Dead Zone Starts
Dead-zone starting yardage for a whitetail by arrow speed and mental state Arrow speed Alert (60 ms) Wary (90 ms) Calm (120 ms) 180 fps (traditional) 4.2 yd 6.3 yd 8.4 yd 200 fps 4.8 yd 7.2 yd 9.5 yd 250 fps 6.3 yd 9.4 yd 12.5 yd 280 fps 7.3 yd 10.9 yd 14.4 yd 300 fps 8.0 yd 11.9 yd 15.7 yd 350 fps 9.9 yd 14.7 yd 19.3 yd 400 fps 12.0 yd 17.7 yd 23.3 yd Read it left to right and top to bottom. Speed pushes the number out slowly; the animal's state moves it just as far.
Does a Faster Bow Stop String Jumping?
Barely. Going from 280 to 350 fps pushes the dead zone for a wary deer from 10.9 to 14.7 yards, a gain of less than four. Turning that same wary deer into a calm one gets you from 10.9 to 14.4 yards. Call it 70 fps of speed for free.
My stance: past 20 yards I would take a tuned, quiet 280 fps setup over a loud 350 fps one every time. That is a judgment call, not a modeled result — the tool has no noise input, it only shows how much a calmer animal is worth. The acoustic and lock-time data on the crossbow versus longbow page is where noise numbers live.
How does this simulation work?
Four numbers and one subtraction. The formulas are the same ones the results panel runs on every slider move.
c = 331.3 × √(1 + T / 273.15) speed of sound in m/s, T in °C
t_sound = distance / c when the shot noise reaches the animal
t_arrow = (e^(k·d) − 1) / (k · v0) flight time with drag, k in 1/m, v0 in m/s
t_move = t_sound + t_reaction when the animal's body starts to move
ΔT = t_arrow − t_move ΔT > 0 JUMPED · ΔT ≤ 0 HIT
The speed of sound rises with air temperature, and altitude only matters through the cooler air it brings, about 6.5°C of cooling per kilometer of climb in the lower atmosphere. The drag constant k is the exponential speed-loss rate per meter that the trajectory visualizer uses, so arrows behave the same in both tools.
What Reaction Times Does the Tool Use?
Three states: alert at 60 ms, wary at 90 ms and calm at 120 ms for a whitetail. Elk run 15 percent slower and wild boar 10 percent slower in the model. Those offsets are modeled, not measured, so override the number yourself whenever you have a better one.
To keep the model honest, the crouch speed is calibrated against whitetail expert Grant Woods' often-quoted estimate that a deer can duck about two inches at 20 yards, six at 30 and ten-plus at 40. A crouch rate of 44 inches per second reproduces that curve almost exactly:
| Distance | Sound arrives | Arrow lands | ΔT | Modeled duck |
|---|---|---|---|---|
| 20 yd | 53 ms | 221 ms | +48 ms | 2.1 in |
| 30 yd | 80 ms | 336 ms | +136 ms | 6.0 in |
| 40 yd | 107 ms | 456 ms | +229 ms | 10.1 in |
280 fps, hunting vanes with a field point, calm whitetail at 120 ms, 68°F. It is a curve fit to one published rule of thumb, so treat the inches as an order-of-magnitude guide.
⚠️ What This Simulator Doesn't Tell You
Avoid If: you plan to use a HIT verdict to justify a longer shot on a game animal. Real animals are not metronomes. Posture, wind, a head turn, feeding versus standing and a second shot on a spooked deer all change the outcome, and none of that is modeled. The tool models a vertical duck only. Treat every number as a modeled estimate, not a lethality claim.
Does a Tree Stand Change the Race?
Slightly. A steep angle shortens the horizontal distance the animal sees, but the arrow still travels the full line-of-sight distance, so flight time follows the longer number. Enter the line-of-sight yardage here, and use the Tree-Stand & Angled Shot Distance Compensator to work out your true aiming distance.
Frequently Asked Questions
Does the sound of a bow shot reach a deer before the arrow does?
Yes, at every yardage. Sound travels about 1,125 feet per second at 68°F, while even a fast compound bow launches an arrow at 300 to 350 fps and it slows down from there. The noise of the shot always arrives first, so the outcome depends on whether the animal's reaction finishes before the arrow lands.
At what distance can a deer beat an arrow and jump the string?
In this model a 280 fps arrow with a hunting-vane, fixed-broadhead drag profile has the animal ahead beyond roughly 7 yards for an alert whitetail (60 ms), 11 yards for a wary one (90 ms) and 14 yards for a calm one (120 ms). Past those yardages the deer has time to start moving before impact. How far it gets depends on how much longer the arrow keeps flying.
Will a faster arrow stop deer from jumping the string?
Only a little. Because sound is always faster than the arrow, added arrow speed shrinks the flight time but never removes the head start the sound gives the animal. Moving a wary deer to a calm one moves the dead zone about as far as adding 70 fps, and the calm deer is a far easier change to make.
How do temperature and altitude change the speed of sound and the result?
The speed of sound rises about 0.6 m/s for each degree Celsius, and altitude only matters through the cooler air it brings, roughly 6.5°C per 1,000 meters of climb. Between a 20°F day and a 90°F day the speed of sound changes by about 7 percent, which moves the dead-zone yardage by only about 2 percent, so temperature is a minor input next to arrow speed and the animal's state.
🎯 Our Final Take
Speed narrows the window and never closes it. Inside 10 yards the arrow usually arrives first; past 20 you should expect the animal to have time to move and plan for a duck instead of hoping for none.
👉 Recommendation: get an honest fps figure from the Arrow Speed & Performance Calculator, run it here, then check how much drop a duck-proof aiming point costs you in the Arrow Trajectory & Sight-Pin Visualizer. For a feel of what 100 to 200 milliseconds means, try the arrow-catching reaction test.
Check it: a 280 fps arrow at 30 yd (hunting vanes, fixed broadhead, 68°F) reads sound at about 80 ms and arrow impact at about 339 ms. A wary whitetail (90 ms) is therefore moving 169 ms before the arrow lands. Every figure on this page is a modeled estimate.
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