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Stopping Distance & Crash Energy

Send two vehicles braking from different speeds and watch how much farther — and how much more violently — the faster one travels before it stops.

Stopping Distance & Crash Energy Simulation

Set two speeds and click "Brake!"
Car A Distance
Car B Distance
Car A Kinetic Energy
Car B Kinetic Energy
Distance & Energy Ratio (B ÷ A)

The Physics Behind This Simulation

Both cars decelerate at the same rate, so their motion follows the same SUVAT equation with final velocity v = 0. Solving for displacement gives stopping distance directly from initial speed and deceleration — with speed squared:

Stopping Distances = u² ÷ 2a
Time to Stopt = u ÷ a
Kinetic EnergyKE = ½mu²
Doubling Speed4× distance, 4× energy

Because both stopping distance and kinetic energy depend on u², doubling a vehicle's speed doesn't double the danger — it quadruples both the distance needed to stop and the energy that has to go somewhere in a crash. The Kinetic Energy Calculator and SUVAT Equations Calculator solve these same relationships for any values.

Things to Try

1

Double the speed

Click "Set Car B = 2× Car A" and brake. Car B travels 4 times farther and carries 4 times the kinetic energy — not twice.

2

Change the mass

Increase vehicle mass. Stopping distance stays exactly the same (mass cancels out of s = u²/2a), but kinetic energy at the same speed rises — mass matters for crash energy, not for how far you slide.

3

Switch to ice

Set the road to icy and compare stopping distances to dry asphalt at the same speed — braking deceleration drops by more than 5×, so distance grows by more than 5×.

4

Match the speeds

Set both cars to the same speed. They stop at exactly the same distance and time, and the ratio readout shows 1.00 — confirming the model treats identical cars identically.

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