Calculating Constant Acceleration of Stopping Airplane

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In summary, to calculate the constant acceleration of a stopping airplane, you will need to know the initial velocity, final velocity, and time it took for the airplane to come to a complete stop. The unit for acceleration in this calculation is meters per second squared (m/s²). It is not possible to determine the acceleration without knowing the time. The mass of the airplane can affect its acceleration, as a lighter airplane would experience a greater acceleration while stopping. This knowledge can be applied in real-life scenarios such as calculating braking distance and time, designing and testing braking systems, and improving the overall performance and safety of airplanes.
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drewbie55
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Homework Statement


An airplane lands and starts down the runway at a southwest velocity of 59 m/s. What is the magnitude of the constant acceleration that allows it to come to a stop in 1.2 km?


Homework Equations


Not sure


The Attempt at a Solution

 
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  • #2
d= (v,^2 - v.^2)/2a

v,=final velocity
v.= initial velocity
 
Last edited:
  • #3
Thanks!
 

1. How do you calculate the constant acceleration of a stopping airplane?

To calculate the constant acceleration of a stopping airplane, you will need to know the initial velocity (speed) of the airplane, the final velocity (zero since it has stopped), and the time it took for the airplane to come to a complete stop. You can use the formula a = (vf - vi) / t where a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time.

2. What is the unit for acceleration in this calculation?

The unit for acceleration in this calculation would be meters per second squared (m/s²).

3. Can you determine the acceleration of a stopping airplane without knowing the time?

No, the time is a crucial factor in calculating the acceleration of a stopping airplane. Without the time, it is not possible to determine the rate at which the airplane slowed down.

4. Is the constant acceleration of a stopping airplane affected by its mass?

Yes, the mass of the airplane can impact its acceleration. According to Newton's Second Law of Motion, F = ma, the acceleration is directly proportional to the force applied and inversely proportional to the mass. This means that a lighter airplane would experience a greater acceleration while stopping compared to a heavier airplane.

5. How can the constant acceleration of a stopping airplane be applied in real-life scenarios?

The constant acceleration of a stopping airplane can be applied in real-life scenarios such as calculating the braking distance and time needed for an airplane to safely come to a stop on a runway. It can also be used in designing and testing braking systems for airplanes to ensure they can safely stop within a specific distance. Additionally, understanding the acceleration of a stopping airplane can aid in analyzing and improving the overall performance and safety of airplanes.

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