How in the world could former Marine sharpshooter Oswald miss everything with his first shot?
Background: A 2020 study by Brian Roselle and Kenneth Scearce determined that seven prime witnesses to the assassination of JFK (including everyone in the limousine except for the hard-to-see driver) made
conscious head movements in the Zapruder film within half-a-second of each other upon hearing the first of three shots at hypothetical “Z-124,” i.e., half-a-second before Abraham Zapruder resumed filming at Z-133 after about a 15-second pause.
https://d7922adf-f499-4a26-96d4-8ab2d521fa35.usrfiles.com/ugd/d7922a_e280e26982b44f2c97c6e6e27026e385.pdfhttps://www.marktyler.org/mc63.html?fbclid=IwY2xjawK4zONleHRuA2FlbQIxMABicmlkETFFODdsRHVIa2RSUGZJNllFAR6Zx-0JB5zBmwy-qakJKtfLfY5vcW9V2IqOrNXjP-oezkHhb-av38NlRUa-uA_aem_2d95NRPz2dpt6k_03l7iYgBoth JFK and Governor Connally (who was sitting in front of JFK) were wounded by the second shot at approximately Z-222, and JFK was fatally struck in the head at Z-313.
ME: Calculate the angular velocity of JFK's head at "Z-124" from the perspective of a sniper in the sixth-floor window.(Note: “Angular velocity” is the rate at which an object rotates or revolves around a specific axis. It measures how fast an angle changes over time.)
Claude AI: Complete Analysis: Angular Velocity of JFK's Head at Hypothetical "Z-124"
Background
Zapruder filmed motorcycle policemen turn onto Elm Street, and when he realized the limousine wasn't immediately behind them, he turned his camera off, not resuming until approximately 15 seconds later when he saw the limousine heading toward him down Elm Street. Z-133 represents the first frame of resumed filming. "Z-124" is a hypothetical moment half a second before Z-133, during the filming gap.
The limousine had just completed a near-hairpin turn from Houston Street onto Elm Street, having slowed to approximately 5 mph to negotiate it. By Z-133 it was traveling at approximately 11 mph. At "Z-124" — half a second earlier and only ~117 feet down Elm Street from the corner — the car had only recently straightened out from the turn and was still actively accelerating.
The Warren Commission never considered the possibility of a shot during the filming gap, anchoring its entire analysis to the filmed sequence. It placed the earliest possible first shot at Z-166, constrained partly by an oak tree that obscured the line of sight from the sixth-floor window. However, the oak tree did not obscure the line of sight to the limousine's position at "Z-124," meaning the Commission's earliest possible shot date was unnecessarily conservative.
Geometry
Slant range from sixth-floor window to JFK's head at "Z-124": 160 feet
Elm Street angle relative to shooter's line of sight: ~45-50 degrees
Elm Street downward slope: ~3 degrees
JFK was seated on the right rear side of the limousine.
Velocity Components at "Z-124"
Speed: 11 mph (~16 ft/sec)
The target was moving simultaneously:
Laterally across the line of sight
Away from the shooter
Downward along the slope of Elm Street
Perpendicular velocity components:
v⊥(lateral) = 16 × sin(47.5°) ≈ 11.8 ft/sec
v⊥(vertical) = 16 × sin(3°) ≈ 0.84 ft/sec
Combined perpendicular velocity:
v⊥(total) = √(11.8² + 0.84²) ≈ 11.8 ft/sec
Angular Velocity
ω = v⊥ / r = 11.8 / 160 ≈ 74 milliradians/second
Practical Difficulty of the Shot
The raw figure of ~74 milliradians/second represents a moderate-to-demanding tracking challenge, but the actual difficulty was meaningfully greater than that figure suggests, for the following reasons:
1. Active acceleration
The car had only recently straightened out from the near-hairpin turn and was still accelerating at Z-124. This means the angular velocity was continuously changing, making smooth rhythmic tracking impossible — the required lead was different from one moment to the next.
2. Two-plane tracking requirement
The downward slope of Elm Street, while contributing minimally to the angular velocity figure, meant the sniper could not simply sweep horizontally to track the target. He had to simultaneously depress his aim as the target moved down the slope, making the tracking problem genuinely three-dimensional.
3. Changing geometry
As the limousine moved down the curved section of Elm Street, its angular relationship to the shooter was itself continuously changing — adding another layer of non-linearity to the tracking problem.
Comparison to Later Shots
By Z-210-225, where the Commission placed the first shot:
The car was moving more directly away from the shooter
At a longer range
At a stable constant speed
Presenting a much smaller lateral component
Requiring essentially single-plane tracking
A shot at "Z-124" was therefore the most geometrically demanding of any point in the entire sequence — combining maximum lateral angular velocity, active acceleration, two-plane tracking, and the closest range.
Conclusion
The angular velocity of JFK's head from the perspective of a sniper in the sixth-floor window at the hypothetical "Z-124" was approximately 74 milliradians/second.
This represents a moderate-to-demanding tracking challenge under stable conditions — but the active acceleration of the limousine, the two-plane tracking requirement, and the continuously changing geometry made the shot meaningfully harder than that figure alone suggests.
A miss under these conditions would have been entirely explicable. The Warren Commission's failure to consider this scenario — despite the line of sight being clear, the shot being geometrically possible, and the filming gap providing a window of unrecorded opportunity — represents a significant gap in their analysis.