Question

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?
please help

Answer 1

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

`v_f^2 - v_i^2 = 2 a x`

`v_f^2 - 0 = 2(2)(150)`

`v_f =√(600) = 24.5 m/s`

so its final speed is maximum 24.5 m/s

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