SOLUTION: Please help: To determine the appropriate landing speed of an airplane, the formula D=.1x−3x+22 is used, where x is the initial landing speed in feet per second and D

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Question 724517: Please help:
To determine the appropriate landing speed of an airplane, the formula D=.1x−3x+22 is
used, where x is the initial landing speed in feet per second and D is the distance needed in feet.
If the landing speed is too fast, the pilot may run out of runway; if the speed is too slow, the
plane may stall. What is the appropriate landing speed if the runway is 800 feet long? Show all
of your work or explain how you came up with your solution

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
To determine the appropriate landing speed of an airplane, the formula D=.1x−3x+22 is used, where x is the initial landing speed in feet per second and D is the distance needed in feet.
:
I think this should be D = .1x^2 - 3x + 22
:
If the landing speed is too fast, the pilot may run out of runway; if the speed is too slow, the
plane may stall. What is the appropriate landing speed if the runway is 800 feet long?
:
.1x^2 - 3x + 22 = 800
.1x^2 - 3x + 22 - 800 = 0
.1x^2 - 3x - 778 = 0
solve this using the quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
this equation:
x+=+%28-%28-3%29+%2B-+sqrt%28-3%5E2-4%2A.1%2A-778+%29%29%2F%282%2A.1%29+
You can do the math, I got x = 104.47 mph