Posted by Gabby on .
An airplane must achieve a velocity of 71 m/s to takeoff. If the runway is 1000 m long, at what speed must the plane constantly accelerate?
Can you show the formula for how you found the answer and explain how to do it.

Science calculations 
drwls,
The velocity achieved after going a distance X while accelerating at a rate a, from a standing start, is
V = sqrt (2 a X)
Rearrange that equaiton to arrive at the acceleration "a" needed to achieve velocity V at runway distance X:
2aX = V^2
a = V^2/(2X) 
Science calculations 
Gabby,
2.52 m/s^2 is what I got...its a choice on the paper
Thanks