You're designing an airport. a plane that will use this airport must reach a speed of vmin=100km/h(27.8m/s).it can accelerate at a=2m/s².if the runway is x=150m long, can the plane reach this before it runs off the end of the runway?

As here it is given that

x = 150 m

a= 2 m/s^2

now initial speed of the plane must be zero as it start from rest

now we will use kinematics

so its final speed is maximum 24.5 m/s

so it will not reach to desired speed at the end of runway

there are no components of a physical goal mentioned on the list of choices that you've provided.