Trajectory & Bullet Drop

Lesson 22 of 33 · Module 6, lesson 1

Assumes the Hunting Primer. New here? Start there first.

Your objective

By the end, you'll be able to explain a bullet's trajectory arc, interpret a drop chart for your load, and state what happens to point of impact at distances beyond your zero.

Concept ~8 min

Your rifle is zeroed at 100 yards. A mature buck steps into a long powerline cut and stops at 220 yards — inside your comfort zone, you think. You hold the crosshair right on his shoulder, squeeze the trigger clean, and he walks off untouched. Later on the range you find out: your bullet was six inches low at 220 yards. You aimed for the heart. You shot under the chest. Understanding the arc would have moved that hold up before you ever pulled the trigger.

Quick recall

Quick recall from Ballistics Fundamentals (primer) — which stage of ballistics describes the bullet's arc from muzzle to target?

External ballistics Internal ballistics Terminal ballistics

Show answer

Correct: External ballistics — Right. External ballistics is everything between the muzzle and the target — trajectory, drop, drag, and wind. That arc is what this lesson goes deeper on.
Not quite: Internal ballistics — Internal is inside the barrel (ignition to muzzle exit). The arc in flight is external ballistics.
Not quite: Terminal ballistics — Terminal is what happens on impact — expansion and energy transfer. The arc to the target is external ballistics.

Why the bullet doesn’t fly straight

Gravity doesn’t wait for the bullet to arrive somewhere — it starts pulling the moment the projectile clears the muzzle. A bullet fired perfectly horizontal immediately begins falling toward the ground, tracing a curved path called a trajectory arc (Alaska Dept. of Fish and Game, Bullet Trajectory).

To fight that drop, your rifle’s barrel is aligned slightly upward relative to your line of sight (the straight line you look through the scope). The bullet launches on that upward angle, rises through your line of sight, peaks at the maximum ordinate (the high point of the arc), then falls back down through your line of sight at your zero distance. Past that point the arc continues downward, dropping faster and faster as velocity bleeds off.

The key mental model: your line of sight is a straight ruler. The bullet’s path is a curve that starts below the ruler, crosses it going up, peaks, crosses it again going down (zero), and then falls steadily below it the farther you shoot.

The why Why does drop accelerate past the zero?

Two reasons compound each other. First, gravity is constant — it adds the same downward acceleration every second — so the bullet falls farther in each successive second of flight. Second, the bullet is slowing down (drag from the air bleeds its velocity), so each additional 50 yards past your zero takes more time to cover than the 50 yards before it. More time in the air means more time for gravity to act. The result: drop at 200 yards past your zero is not twice the drop at 100 yards past — it is typically three to four times as much. This is why long-range shooting is much less forgiving than it looks.

The arc visualized: your line of sight vs. the bullet path

This is the concept that, once you see it once, you never forget. Study the diagram carefully — the bullet’s path and the sight line are two different curves, and understanding where they cross is understanding your zero.

Diagram showing a dashed horizontal blue line (line of sight) and a red curved arc (bullet path). The arc starts below the sight line at the muzzle, rises above it at the peak, then crosses back down through it at the 100-yard zero marker, and continues dropping steeply to 310 yards. — Diagram (not a photo). Blue dashed line = your line of sight (straight). Red curve = the bullet's arc. The green dot is the zero — the second place they meet. Past the zero the bullet drops farther below the sight line with every yard.

How to read a drop chart

A drop chart (also called a dope card or ballistic table) lists your bullet’s position above or below your zero’s line of sight at specific distances. Ammunition manufacturers publish them, and apps like Federal’s Ballistics Calculator let you generate one for your exact load, scope height, and zero distance.

Here’s what the numbers look like for a common hunting load zeroed at 100 yards (numbers are approximate and vary by load — always generate a chart for your ammo):

Distance	Relative to 100-yd zero
100 yds	0.0 in (the zero)
150 yds	-2 to -3 in
200 yds	-6 to -8 in
250 yds	-13 to -16 in
300 yds	-22 to -28 in

Notice how drop doesn’t grow in a straight line — it accelerates. Going from 200 to 250 adds roughly 7 more inches of drop; going from 250 to 300 adds another 10 or more. This is why a rough sense of “I’m shooting past my zero” is not enough. You need the actual number.

Deep dive What variables change my drop numbers?

Drop at any distance depends on: (1) muzzle velocity — faster bullets spend less time in the air, so gravity has less time to pull them down; (2) ballistic coefficient (BC) — a slicker bullet sheds velocity slower, so it drops less at distance; (3) zero distance — a 200-yard zero gives you less drop at 250 than a 100-yard zero does; and (4) altitude and temperature, which change air density and bullet drag (thinner air at altitude = flatter shooting). Manufacturers’ printed charts are usually computed at sea level at 59°F. The SC Piedmont sits at 600–900 feet, close enough that manufacturer data is reliable. Always generate a chart for your specific load using the Federal Premium Ballistics Calculator or similar tool (Federal Premium Ballistics Calculator).

The arc in action — a Piedmont shot decision

Decision

You're set up on the edge of a powerline cut. A buck appears at a measured 220 yards. Your rifle is zeroed at 100 yards and your drop chart says -7 inches at 200 yards and -12 inches at 250. The vital zone is about 8–9 inches top to bottom. What do you do?

Hold the crosshair right on the center of the shoulder — I'm zeroed, so I'm close

At 220 yards you're roughly 9 inches low — below the brisket. You've aimed for the heart and hit below the chest. The deer runs. This is a wounding shot from a preventable error.

Estimate the drop from the chart (about 9 inches at 220) and hold above the shoulder crease

Right. Interpolating between the 200 (-7 in) and 250 (-12 in) numbers gives roughly 9 inches of drop at 220. A hold one vital-zone height above the center of the shoulder puts the bullet through the lungs. Clean shot.

My chart only has 200 and 250 numbers — pass and try to call him closer

Also correct. If you haven't confirmed your drop between the chart points by actually shooting at 220, the conservative call is to pass or close the distance. A known shot is always better than an interpolated one.

Check your understanding

Knowledge check

Your rifle is zeroed at 100 yards. At 200 yards your drop chart says the bullet hits 7 inches LOW. You're aiming at the center of a deer's vital zone (which is about 9 inches top to bottom). How high above the center must you hold to still hit the lungs?

7 inches above the center of the vitals Dead on center — the zero handles it at 200 3.5 inches above center — split the difference

Show answer

Correct: 7 inches above the center of the vitals — Right. The bullet drops 7 inches from your hold point, so you raise the hold 7 inches above where you want the bullet — that puts impact at the center of the vital zone.
Not quite: Dead on center — the zero handles it at 200 — The zero is at 100 yards. At 200 the bullet has dropped 7 inches below your hold. Aim at center and the bullet lands 7 inches low — under the chest. You must hold above to compensate.
Not quite: 3.5 inches above center — split the difference — A half-correction doesn't work that way. If you're 7 inches low, you raise your hold a full 7 inches. A 3.5-inch hold still puts the bullet 3.5 inches below the center of the vitals.

Knowledge check

From the muzzle to 100 yards (the zero), where is the bullet relative to your line of sight?

Slightly above the line of sight — it rises from the muzzle, peaks, then comes back down to the zero Always below — it falls from the muzzle the whole way Exactly on the line of sight — that's what zeroed means

Show answer

Correct: Slightly above the line of sight — it rises from the muzzle, peaks, then comes back down to the zero — Correct. The barrel is angled upward, so the bullet launches above the line of sight, arcs to the peak, then falls back to cross the sight line at the zero. Before the zero, the bullet is actually above your hold.
Not quite: Always below — it falls from the muzzle the whole way — That would be true if the barrel were exactly level. But the barrel is angled slightly up, so the bullet actually rises above the line of sight before falling back through it at the zero.
Not quite: Exactly on the line of sight — that's what zeroed means — A zero means the bullet CROSSES the line of sight at one distance. Between the muzzle and the zero, the bullet is above the sight line (rising); past the zero it falls below. They only meet at the zero.

Take it to the woods

Before you go afield this season, build your own drop card and prove it at distance.

Know your arc before season

0/5

Generated a ballistic chart for my exact hunting load using a manufacturer calculator (e.g., Federal Premium or Hornady 4DOF).
Confirmed my 100-yard (or chosen zero distance) zero with a 3-shot group this season.
Shot a group at 200 yards and compared it to my chart — I know my actual drop, not just the table number.
Made a simple dope card (or phone note) with my actual drop in inches at 150, 200, and 250 yards.
Safety Set a personal maximum shot range where I've actually confirmed the drop — no shots beyond what I've proven.

Sources

Alaska Department of Fish and Game — Bullet Trajectory (trajectory arc, maximum ordinate, drop): https://www.adfg.alaska.gov/index.cfm?adfg=hunting.trajectory
NRA Family — How to Read the Wind / Ballistics Overview: https://www.nrafamily.org/content/how-to-read-the-wind/
Federal Premium Ballistics Calculator (generate a drop chart for your specific load): https://www.federalpremium.com/ballistics-calculator
Hornady, External Ballistics (trajectory, drag, BC): https://www.hornady.com/team-hornady/ballistic-information/ballistic-resources/external-ballistics
American Hunter (NRA) — Bullet Drop and Range When Hunting Whitetails: https://www.northamericanwhitetail.com/editorial/bullet-drop-range-estimation/263501

If you remember nothing else

Gravity acts on the bullet from the instant it leaves the muzzle — the path is always an arc, never a straight line.
The barrel angles slightly upward relative to the line of sight, so the bullet rises through the sight line, peaks, and falls back through it at the zero.
Past the zero the bullet drops with increasing speed — a few inches at 50 yards past zero, many inches at 200 yards past.
A drop chart (printed or phone-app) lets you look up the exact correction for your specific load at any range.
Knowing the arc lets you make the shot at your verified distances and recognize when a target is beyond your data.

How ready do you feel?

How ready are you to look at a drop chart for your hunting load and tell someone exactly where the bullet sits at 150, 200, and 250 yards?

Before you go — a quick look back

Distributed practice: one fast recall from an earlier lesson keeps it from fading.

Quick recall

From the Zeroing & Sights module — what does an MOA click actually move at 100 yards, and at 200 yards?

Show me the answer

Show answer

Correct: Show me the answer — One MOA is roughly 1.047 inches at 100 yards — call it 1 inch. At 200 yards that same click moves approximately 2 inches, because MOA is an angular unit: the physical size doubles with the distance. This is why dialing corrections at distance requires fewer mental steps if you think in inches per 100 yards.

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