Calculating Constant Acceleration of Stopping Airplane

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To calculate the constant acceleration needed for an airplane to stop from a southwest velocity of 59 m/s over a distance of 1.2 km, the equation d = (v_f^2 - v_i^2) / (2a) can be utilized. Here, v_f is the final velocity (0 m/s upon stopping), and v_i is the initial velocity (59 m/s). Rearranging the equation allows for solving acceleration (a) as a = (v_i^2) / (2d). Substituting the values gives the necessary acceleration to determine how quickly the airplane must decelerate. This approach effectively addresses the problem of calculating constant acceleration during landing.
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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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d= (v,^2 - v.^2)/2a

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