THE VERDICT
What the stopwatch is actually saying
Evidence → interpretation → the next driving action.
INTERACTIVE LAP LAB
Replay every lap on the clock
Play advances by measured elapsed time: the kart visibly covers less track while slowing and more while accelerating. The numbered ghosts align each separately recorded lap at t=0 for a virtual time-relative comparison; the laps were not driven simultaneously.
Selected kart + all-lap ghosts
Large lime kart = selected lap. Numbered circles = separately recorded laps aligned to the same elapsed time, not simultaneous karts. Paths remain measured and unsnapped.
Speed and time delta by distance
Lap time progression
Where each lap won or lost
RACING-LINE & CORNER MODEL
A model opponent—without calling it ground truth
Suggested line, corner-speed envelope, inferred braking and low-confidence rotation cues. Measured telemetry remains primary; every coaching number changes with the assumptions.
Assumed corridor, model line & measured path
The translucent band is OSM centerline ±4.5 m—not surveyed asphalt. The dashed blue GNSS path has metre-scale uncertainty, so lateral separation is illustrative rather than an apex verdict.
Measured lap versus simulated full-throttle / brake solution
Orange bands are model braking demand. Actual braking is inferred from coherent speed loss; there is no brake-pedal channel. Hover either chart to move the shared track cursor.
CORNER-BY-CORNER
Evidence → interpretation → one safe experiment
Observed / conservative-model minimum speed. Brake distances are coarse 5 m bins with practical uncertainty around 15–25 m.
What “skid”, “drift” and grip mean here
Grip proxy combines smoothed phone/body lateral acceleration and inferred deceleration inside a fitted friction circle. Possible over-rotation requires excess yaw, elevated grip use and local time loss. Neither proves tire slip: phone movement, mounting, bumps, GNSS heading and the unrecorded steering angle can create the same pattern. There is no defensible tire slip angle.
Line, speed and braking assumptions
The line minimizes curvature inside a 9 m OSM-centered corridor, leaving the 1.35 m kart footprint and 0.55 m centerline safety margin. Speed is a cyclic point-mass simulation with an effective grip limit, friction-circle braking, power-limited full-throttle acceleration, rolling resistance, aerodynamic drag and a fitted top-speed cap. Elevation is omitted because the pressure-derived profile is experimental.
How to use the model safely
Start with Conservative coaching. Change only one corner and one behavior at a time. A slower minimum plus early speed-loss cue suggests testing a shorter/later main stop; a late/near-limit cue means adding margin. Do not use a nominal or high-grip ceiling as a braking instruction, and never prioritize an exact metre marker over visibility, flags, traffic, tire temperature or track conditions.
Facts, priors and method references
PHYSICS LAB
Grip, energy and rotation—without pretending assumptions are measurements
Mass-independent quantities stay measured. Mass, drag and rolling resistance remain explicit controls.
Measured motion demand
Acceleration and rotation by distance
Energy & tractive-power sandbox
Model: P ≈ [m·a + m·g·Crr + ½ρCdAv²]·v / η. This estimates demand at the assumed drivetrain; it does not identify engine output or kart model.
SPATIAL MODEL
Drive the recorded lap in 3D
A camera-led replay built from the same measured-time playhead. Position and speed come from the selected lap; heading is a smoothed trajectory tangent and the road width is only a visual aid.
Chase camera or first-person cockpit
What is measured: elapsed time, speed and the selected GNSS line. What is visualized: interpolated motion, a smoothed look direction, experimental pressure-derived relative height and a nominal-width road ribbon centered on that line. This is not surveyed track geometry or exact steering.
Speed over experimental relative elevation
KEY COMPLEXES
Five speed minima worth revisiting
Automatically detected braking/apex regions. The spread shows where execution changed most; exact racing-line claims are constrained by GNSS accuracy.
AUDIT TRAIL
Every conclusion has a source and a confidence boundary
The original archive remains untouched. Derived outputs are reproducible from hashed inputs.