An engineer is trying to design a runway for an airport. He knows that airplanes have the ability to accelerate at 3.3 m/s ^ 2 and it takes 35 seconds for an airplane to lift off the ground. If his blueprint includes a runway that is 1600 meters in length is it long enough

Respuesta :

Answer:NO

Step-by-step explanation:

Given

Acceleration [tex]a=3.3\ m/s^2[/tex]

Time [tex]t=35\ s[/tex]

Runway length [tex]l=1600\ m[/tex]

using [tex]s=ut+\frac{1}{2}at^2[/tex]

where s=length of runway

u=initial velocity

a=acceletation

t=time

Substituting values we get

[tex]s=0(35)+\frac{1}{2}(3.3)(35)^2[/tex]

[tex]s=0+2021.25[/tex]

[tex]s=2021.5\ m[/tex]

Therefore [tex]1600\ m[/tex] length is not enough