What Average Acceleration Must a Plane Achieve for Safe Takeoff?

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SUMMARY

The discussion focuses on calculating the average acceleration required for a small plane to take off safely from a 174-meter runway, achieving a ground speed of 42 m/s. The correct formula to use is v² = v₀² + 2ad, where v is the final velocity, v₀ is the initial velocity (0 m/s), a is the acceleration, and d is the distance (174 m). By rearranging the formula to solve for acceleration (a), the correct average acceleration is determined to be 8.5 m/s².

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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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