Question

Asked Dec 8, 2019

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A Boeing 747 "Jumbo Jet" has a length of 59.7 m. The runway on which the plane lands intersects another runway. The width of the intersection is 21.3 m. The plan decelerates throught the intersection at a rate of 5.79 m/s^{2} and clears it with a final speed of 39.0 m/s. How much time is needed for the plane to clear the intersection?

Step 1

**Given information:**

Length of the plane (l) = 59.7 m

Width of the intersection (w) = 21.3 m

The deceleration of the plane (a) = -5.79 m/s^{2}

The final velocity of the plane (v) = 39 m/s

Let “t” be the time needed to clear the intersection

Let “v” be the final velocity of the plane.

Step 2

The effective distance the plane has to travel is:

S = l + w = 81 m

Now consider the 3^{rd} equation of motion:

Step 3

Now consider 1st equation...

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