- #1
Fumbalodian
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Homework Statement
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 29.9 m. The plane decelerates through the intersection at a rate of 6.33 m/s2 and clears it with a final speed of 42.3 m/s. How much time is needed for the plane to clear the intersection?
Homework Equations
V^2 = V0^2 + 2a (X - X0)
X = 1/2 (V0 + V) t
The Attempt at a Solution
Knowns:
X0 = 0m
X = 89.6m
V0 = Unknown
V = 42.3 m/s
a = -6.33 m/s^2
t = Unknown
I began by trying to solve for the initial velocity of the jet using the first of the above equations. I am getting 95.7 m/s but I am not sure if I am simply doing the algebra incorrectly or something else. It would help to get step by step help on the algebra as well and not skip any steps.
I then used 95.7 m/s in the second equation to solve for time. For this I am getting
1.3s but the homework webpage says that isn't correct.
I have tried repeatedly to work this through and I just can't seem to get it.
Thank you