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Driving · interactive

Twice as fast, four times as far to stop?

Model · level road, constant braking

Yellow is the distance before braking begins. Blue is the distance while constant braking removes the car's speed. Change either part.

1 See

The brake pedal does nothing during the driver's reaction, then the tires must remove motion whose energy rises with speed squared.

2 Change

3 Understand

Watch the 37-second film
Model notes and sources

Model. Total stopping distance is reaction plus braking: d = v tr + v²/(2a). The film fixes reaction time at 1.5 s and braking deceleration at 7 m/s² on a straight, level road. At 50 km/h those parts are 20.8 m + 13.8 m = 34.6 m. At 100 km/h they are 41.7 m + 55.1 m = 96.8 m. Doubling speed doubles v tr and quadruples v²/(2a).

Automation. The automated preset uses 0.2 s only to isolate the reaction term; it is not a claim about any particular self-driving system. Faster sensing and control can reduce detection and actuation delay, but once the same car begins the same tire-limited stop at the same speed, the energy and braking-distance term remain. Real systems may also brake differently or earlier.

Not a safety forecast. Real stopping distance varies with attention, visibility, brake build-up, tires, vehicle mass distribution, ABS, temperature, road surface, grade, weather and obstacle detection. The constant 7 m/s² is an illustrative dry-road value, not a promise for any car or road. Do not use this tool to choose a following distance. The road and driving photos are AI-generated illustrations; every distance and label is drawn from the equation.

Sources: NHTSA, Stopping Distance Worksheet (approximately 1.5 s perception and reaction); Federal Highway Administration, Stopping Sight Distance (reaction distance plus v²/[2g(f+G)]); NHTSA, Minimum Stopping Distance Equations.

An ExplainerTools Original.

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