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How much time is needed for the palne to clear the intersection?
A boeing 747 has a length of 59.7 meters. The runway on which the plane lands intersects another runway. The width of the intersection is 25.0meters. The plane decelerates through the intersection at a rate of 5.70meters squared and clears its final speed of 45.0meters/sec. How much time is needed to clear the intersection?
travel distance to clear the intersection:
D = 59.7 + 25 = 84.7m
a = 5.7 m/s^2
Vfinal = 45 m/s
D = Vinit * t - a*t^2 / 2
Vinit = Vfinal + a*t
D = (Vfinal +a*t) * t - 0.5 * a * t^2
D = Vfinal * t + 0.5 * a * t ^2
84.7 = 45*t + 0.5* 5.7*t^2
Solve quadratic equation:
t = 1.7 s
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