In: Physics
A Boeing 747 "Jumbo Jet" has a length of 64.4 m. The runway on which the plane lands intersects another runway. The width of the intersection is 23.6 m. The plane decelerates through the intersection at a rate of 5.50 m/s2 and clears it with a final speed of 46.9 m/s. How much time is needed for the plane to clear the intersection?
Total distance covered the tip of the plane in order to clear the intersection is
where d=23.6m is the width of intersection and L=64.4m is the length of the plane.
The acceleration of the plane is
Final speed of the plane is
The acceleration of the plane is constant, the motion of the plane is governed by the kinematics equation for uniformly accelerated motion. To determine the initial velocity we use
To calculate time we use