Three distances: accelerate, recognize, stop
Under constant acceleration a to a speed V, the ground roll to that speed is saccel = V² / (2a) and the time is V/a. During a recognition delay tr the airplane is assumed to keep rolling at V, covering V tr. A constant deceleration d then stops it in V² / (2d). The educational accelerate-stop distance is the sum of those three pieces. An 80-knot decision speed at 4 knots per second, a 1-second delay, and an 8-knot-per-second stop uses about 2,160 feet — a useful order-of-magnitude check, not a dispatch number.
A published V1 and a Part 23 or Part 25 accelerate-stop distance are a different model: configuration changes, engine-out thrust, runway slope, wind, and braking condition all enter the AFM/POH chart. This page has none of that. Use the takeoff and landing distance calculator when you are correcting a POH baseline, and defer to the book for a reject decision.
Sources
- Constant-acceleration kinematics, s = v² / (2a).
- FAA Airplane Flying Handbook and Pilot’s Handbook of Aeronautical Knowledge (rejected takeoff and V1 as a decision speed — conceptual only).
- 14 CFR 25.109 and 23.55 describe certified accelerate-stop distance; those models are not implemented here.
Frequently asked questions
Is this a legal V1 or ASDR?
No. V1 and accelerate-stop distance come from the AFM or POH for the weight, flap setting, runway, and conditions of the day. This page is an educational kinematics check.
What recognition time should I use?
The default of one second is a round classroom number, not a certification reaction time. Try a longer delay if you want to see how sensitive the total is.
Does the calculation include wind or slope?
No. Speeds are treated as groundspeed on a level, still-air runway.