Alight plane must reach a speed of 46 m/s for takeoff.
how long of a runway is needed if the (constant) acceleration is 3.2 m/s2 (units)

The plane will need 330.63m of runway for takeoff.

Why?

Since we already know the desired speed (46 m/s) of the plane and we know its acceleration (constant acceleration, 3.2 m/s2), we can calculate how much runway is needed for takeoff.

We can solve the problem using the following formula:

Where,

V is the final speed

Vo is the initial speed (which is equal to 0 assuming that the plane was in rest)

a is the acceleration of the movement.

d is the distance.

Now, substituting the given information and calculating, we have:

Hence, we have that the plane will need 330.63m of runway for takeoff.

Have a nice day!