Posted by **Gabby** on Tuesday, February 5, 2008 at 6:52pm.

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**, Tuesday, February 5, 2008 at 7:27pm
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)

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