A jetliner, traveling northward, is landing with a speed of 70.9 m/s. Once the jet touches down, it has 727 m of runway in which to reduce its speed to 14.0 m/s. Compute the average acceleration (magnitude and direction) of the plane during landing (take the direction of the plane's motion as positive).

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Answer:

Magnitude the of the acceleration is 3.32[tex]m/s^2[/tex] and direction is south

Explanation:

[tex]v_{0} =70.9 m/s\\v=14 m/s\\S=727 m[/tex]

we know that

[tex]v^2 = v_{0}^2 +2aS[/tex]

by substituting the values we can get the required acceleration

[tex]v^2 = v_{0}^2 +2aS\\14^2 = 70.9^2 +2\times a\times 727\\a=3.32 m/s^2[/tex]

Magnitude the of the acceleration is 3.32[tex]m/s^2[/tex] and direction is south