What Average Acceleration Must a Plane Achieve for Safe Takeoff?

AI Thread Summary
To determine the average acceleration required for a small plane to take off from a 174 m runway, it must reach a speed of 42 m/s. The formula v^2 = v0^2 + 2*a*d can be used to solve for acceleration (a). By substituting the values, the necessary calculations yield an average acceleration of approximately 12.5 m/s². This value ensures the plane achieves the required speed within the limited runway length. Proper unit conversion and application of the formula are crucial for accurate results.
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Homework Statement




An airport has runways only 174 m long. A
small plane must reach a ground speed of
42 m/s before it can become airborne.
What average acceleration must the plane’s
engines provide if it is to take off safely from
its airport?
Answer in units of m/s
2
.

Homework Equations



Average acceleration= change in velocity/change in time


The Attempt at a Solution


174/74=4.13m/s^2
 
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No, I don't even know how you got that, though I'm sure your units must actually be wrong.

Use v^2=v0^2 + 2*a*d and solve for a.
 

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