# How Total Stopping Distance Is Built
A complete stop has two distinct phases. During perception and reaction, the vehicle continues at nearly its initial speed. After the brakes act, kinetic energy must be removed through tire and road forces. This calculator shows both distances separately so the hidden reaction phase cannot be mistaken for braking performance.# The Formula Behind the Estimate
Reaction distance is speed in meters per second multiplied by reaction time. Braking distance is speed squared divided by twice the effective deceleration. Effective deceleration combines the selected braking assumption with the gravitational effect of the gradient, so an uphill grade shortens the modeled brake phase while a downhill grade lengthens it.| Input | What it changes | Why it matters |
|---|---|---|
| Speed | Both phases | Braking distance grows approximately with speed squared |
| Reaction time | Reaction phase | Distraction and fatigue add distance before braking |
| Deceleration | Braking phase | Grip, tires, brakes, and surface affect achievable slowing |
| Gradient | Braking phase | Gravity assists downhill motion and resists uphill motion |