Question

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

Answer 1

Answer:NO

Step-by-step explanation:

Given

Acceleration $a=3.3\ m/s^2$

Time $t=35\ s$

Runway length $l=1600\ m$

using $s=ut+\frac{1}{2}at^2$

where s=length of runway

u=initial velocity

a=acceletation

t=time

Substituting values we get

$s=0(35)+\frac{1}{2}(3.3)(35)^2$

$s=0+2021.25$

$s=2021.5\ m$

Therefore $1600\ m$ length is not enough