A light plane must reach a speed of 33 m/s per take off. How long a runway is needed if the constant acceleration is 3.0 m/s^2.

Given the final velocity (Vf) and the acceleration (a), the distance that should be traveled by the plane is calculated through the equation,

d = (Vf² - Vi²) / 2a

V1 should be zero because the light plane started the motion from rest. Substituting the given values,

d = ((33 m/s) ² - 0)) / 2 (3 m/s²)

The distance is therefore equal to 181.5 meters.