Asked by ksunhsine
was wondering if someone can help me out. Question: a jet has a length of 59.7 meters. The runway on which the plane lands intersects another runway. The width of the intersection is 25m. the plane decelerates through the intersection at a rate of 5.70 m/s^2 and clears it with a final speed of 45 m/s. how much time is needed for the lkplane to clear the intersection?
Answers
Answered by
GK
v<sub>f</sub><sup>2</sup> = v<sub>i</sub><sup>2</sup> + 2ad
(45m/s)<sup>2</sup> = v<sub>i</sub><sup>2</sup> + 2(-5.7m/s^)(25m)
Solve for Vi
Find the average velocity = (v<sub>i</sub>+v<sub>f</sub>)/2
Divide the width of the intersection by v<sub>avg</sub>
(45m/s)<sup>2</sup> = v<sub>i</sub><sup>2</sup> + 2(-5.7m/s^)(25m)
Solve for Vi
Find the average velocity = (v<sub>i</sub>+v<sub>f</sub>)/2
Divide the width of the intersection by v<sub>avg</sub>
Answered by
GK
Oops, I did not take the length of the plane into account. My first solution shrank the plane to a point concentrated at the end of its tail. I think this can be fixed by changing the distance, d, from 25m to (25+59.7) m.
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