Question

Jet plane has a takeoff speed of 75m/s and can move along the runway at an average acceleration of 1.3m/s?. If the length of the runway is 2.5km, will the plane be able to use this runway safety? Defend your answer

Answer 1

If the jet plane is taking off, we know that initially the plane isn't moving (initial speed is zero, Vo=0m/s), the final speed (the one the plane needs to takeoff is 75m/s (Vf=75m/s), we need to verify if accelerating at a rate of 1.3m/s^2, the plane can reach the takeoff speed in a distance of 2.5km (the length of the runway). To do that we calculate the distance that will take to reach that speed, like the following:

`2*a*d=Vf^(2) -Vo^(2)` this is the formula we are using, where "a" is the acceleration and "d" is the distance we are going to calculate.

`d=(Vf^(2) -Vo^(2) )/(2*a)`

`d=((75m/s)^(2) -(0m/s)^(2) )/(2*(1.3m/s^(2)) )`

`d=(5625m^(2)/s^(2) )/(2.6m/s^(2) )`

d=2146.63m=2.146km.

The plane needs 2.146km to reach the takeoff speed, and the runway has 2.5km, so the plane will be able to use the runway safety.