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?

Question

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?

GK · Answer

v_f² = v_i² + 2ad (45m/s)² = v_i² + 2(-5.7m/s^)(25m) Solve for Vi Find the average velocity = (v_i+v_f)/2 Divide the width of the intersection by v_avg

GK · Answer

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.