Vehicle Stopping Distance Calculator
Enter your speed, driver reaction time, and pick a road surface (or supply your own friction coefficient) to estimate the total distance to stop — reaction distance plus mechanical braking distance — along with time-to-stop and deceleration. Defaults are 0.7 friction (dry asphalt) and 1.0 s reaction, both typical of the AASHTO Green Book design values.
Enter valid numbers (speed ≥ 0, reaction 0–10 s, friction 0–1.5).
Total stopping distance
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- Reaction distance
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- Braking distance
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- Time to stop
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- Deceleration
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Formula
d = v·t + v² / (2·μ·g), with g = 9.80665 m/s²
Reaction distance = speed × reaction time. Braking distance = v² / (2·μ·g). One car length ≈ 4.5 m (typical passenger car).
Formula
d = v · t_r + v² / (2 · μ · g); g = 9.80665 m/s²
- · Reaction distance d_r = v × t_r scales linearly with speed; braking distance d_b = v² / (2·μ·g) scales with the square of speed — double the speed, quadruple the braking distance.
- · g = 9.80665 m/s² (standard gravity); μ is the coefficient of friction between tyre and road.
- · Friction coefficients (AASHTO "A Policy on Geometric Design of Highways and Streets", 7th ed., 2018, Table 3-1; Wong, "Theory of Ground Vehicles", 2008): dry asphalt ≈ 0.7, wet ≈ 0.5, gravel ≈ 0.55, snow ≈ 0.2, ice ≈ 0.1.
- · AAA Foundation and AASHTO use 2.5 s perception–reaction time for safety design; the UK Highway Code uses 0.67 s; attentive drivers are typically 1.0–1.5 s.
- · The "two-second rule" used in driving manuals assumes t_r ≈ 2 s, plus the car in front decelerating at the same rate. Add 1–2 s in rain, fog, at night or on long drives.
- · The calculator assumes a level road, no ABS modulation, and steady-state friction with warm tyres. Real-world stopping distance can vary by ±20 % depending on tyre wear, brake fade, vehicle mass and surface temperature.
- · The HK Transport Department legal limit for driver blood alcohol is 0.05 %. Alcohol can stretch reaction time from 1.0 s past 2 s, sharply lengthening the reaction-distance component.
Frequently asked
Why does a wet road make such a big difference?
In the formula, friction μ sits in the denominator. Dry asphalt gives μ ≈ 0.7; wet drops it to ≈ 0.5 — about 30 % less grip. So braking distance grows by ~1.4× at the same speed. If hydroplaning kicks in, the tyre loses contact with the road and μ can collapse below 0.05, pushing stopping distance up an order of magnitude. This is why you should drop speed on highways in heavy rain — in Hong Kong, during a Black rainstorm warning, slowing 20–30 % is a reasonable rule of thumb.
What is the "two-second rule" and how does it relate to this calculator?
The "two-second rule" is a teaching shortcut: when the car ahead passes a fixed point, you should reach the same point at least two seconds later. It assumes the lead car brakes at the same intensity you would, so you only need to cover your reaction distance. Plug 2 s into the reaction-time field and the calculator gives roughly v × 2 (s) of safe following distance, ignoring braking. AAA / AASHTO design guidance uses 2.5 s for a margin; in rain, at night, or on motorways aim for 3–4 s.
Are the calculated distances optimistic?
They are somewhat optimistic. The model assumes dry, warm new tyres, steady-state braking on a level road, and the reaction time you typed in. Real-world things that lengthen the distance: (1) a 0.2–0.5 s brake-pressure ramp-up before ABS settles; (2) worn tyres can lose ~30 % grip; (3) downhill grades add a gravity component; (4) fatigue, night, or phone use can push reaction time past 2 s. For a "worst-case" estimate, use t_r ≈ 2.5 s and drop μ by ~0.1.
Why is the total stopping distance at 60 km/h roughly 36–37 m?
60 km/h = 16.67 m/s. With a 1 s reaction time, reaction distance = 16.67 m. Braking distance = v² / (2·μ·g) = 16.67² / (2 × 0.7 × 9.80665) ≈ 20.2 m. Total ≈ 36.9 m, about eight car lengths. This assumes new tyres on dry asphalt (μ = 0.7) and a 1 s reaction; on wet pavement (μ = 0.5) braking grows to 28.3 m and total to ~45 m — an extra 10 m gap you have to plan for.
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