A light plane must reach a speed of 33m/s for takeoff. how long a runway is needed if the the acceleration is 3.0m/s^2

Remark

Always write down your givens and what you want to find. The formula you use for such questions will suggest itself if you do this.

Givens

a = 3.0 m/s^2

vi = 0 I presume that's that the question assumes.

vf = 33 m/s

You want d

Formula

vf^2 = vi^2 + 2*a*d

Solution

33^2 = 0^2 + 2 * 3 * d

1089 = 6*d

d = 1089/6

d = 181.5 meters