Constant Acceleration Plane Problem

[needhelp83]

The takeoff speed of a jetliner is 360 km/h. If the jetliner is to take off from a 2100 m long runway, what must be the (constant) acceleration along the runway?

Velocity of jetliner=(360 km/h)(1000 m/ 1 km)(1 h/3600 s)=100 m/s

v^2=initial V^2+2a(x-initial x)
(v^2-(initial V^2))/(x-intial x)=2a
((100 m/s)^2-0)/(2100-0)=2a
4.76 m/s^2=2a
a=2.38 m/s^2

Look right?
Anybody?

 

[big man]

yup looks fine to me.

 

[kyle8921]

Yes, your calculations appear to be correct. The constant acceleration along the runway would need to be 2.38 m/s^2 in order for the jetliner to reach a takeoff speed of 360 km/h within a distance of 2100 m. This is assuming no external factors such as wind or weight are affecting the acceleration of the jetliner.