Constant Acceleration Plane Problem

Thread starter needhelp83
Start date Sep 23, 2006
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Acceleration Constant Constant acceleration Plane

AI Thread Summary

The discussion focuses on calculating the required constant acceleration for a jetliner to take off from a 2100 m runway at a speed of 360 km/h, which converts to 100 m/s. Using the kinematic equation v^2 = initial V^2 + 2a(x - initial x), the acceleration is derived. The calculation shows that the necessary acceleration is 2.38 m/s^2. Participants confirm the accuracy of the calculations presented. Overall, the problem-solving approach and results are validated by the contributors.

Sep 23, 2006

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?

Last edited: Sep 23, 2006

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Sep 24, 2006

big man

yup looks fine to me.

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