• Pixel-art sticker of Skidder, personifying Braking Distance, with the caption “Twice The Speed, 4X The Stop.”

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Skidder

Braking Distance Physics

\[d = \frac{v^2}{2\mu g}\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
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Meet Skidder, a delivery van who learned that doubling speed quadruples stopping distance. Tyre friction must remove all his kinetic energy, so braking distance grows with speed squared: about 29 m at 20 m/s on dry asphalt, 117 m at 40 m/s. Wet roads stretch it further. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Flat $6 shipping on every order, worldwide, whatever's in it.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Meet Skidder, a delivery van who learned that doubling your speed does far more than double your stopping distance.

When the brakes lock or work at their limit, friction between the tyres and the road is what slows the van. The friction force is μmg, where μ is the coefficient of friction. That force must remove all of the van's kinetic energy, ½mv², and the van's mass cancels out.

The braking distance is d = v²/(2μg). On dry asphalt with μ ≈ 0.7, a van at 20 m/s, about 72 km/h, needs d = 400/(2 × 0.7 × 9.81) ≈ 29 m.

At 40 m/s the distance is four times larger, about 117 m. On a wet road where μ drops to about 0.4, even 20 m/s needs about 51 m.

Driver reaction time adds more distance before the brakes even start working. That is why speed limits drop near schools and why you should leave a bigger gap in the rain.

Equations

\[d = \frac{v^2}{2\mu g}\]
Symbols
SymbolMeaningUnit
\(d\) braking distance \(\mathrm{m}\)
\(v\) starting speed \(\mathrm{m/s}\)
\(\mu\) coefficient of friction between tyre and road \(\mathrm{dimensionless}\)
\(g\) acceleration due to gravity \(\mathrm{m/s²}\)