Runway Takeoff - Kinematic Equations

Controls

Runway Length (m):
500 4000
Throttle Acceleration (m/s²):
0.5 5.0
Takeoff Velocity (m/s):
40 100
Speed (m/s):
Distance (m):
Time (s):

Runway Takeoff Exercise

Runway Takeoff and Constant Acceleration

This interactive 3D physics simulation models a jet accelerating from rest along an airport runway. Adjust the runway length, throttle acceleration, and required takeoff velocity to determine whether the aircraft can safely reach takeoff speed before the end of the runway.

v² = v₀² + 2aΔx

Because the jet starts from rest, v₀ = 0. The minimum distance required to reach takeoff speed is therefore:

Δx = v² / (2a)

How to Use the Simulation

What Students Learn

Example

For a jet accelerating from rest at 1.8 m/s² and requiring a takeoff velocity of 76 m/s:

Δx = 76² / (2 × 1.8) = 1404.4 m

A 1600 m runway is therefore long enough, leaving 195.6 m of runway when the aircraft reaches takeoff speed.

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