The landing distance that a certain plane will travel on a runway is determined by the initial landing speed at the instant the plane touches down. The function D relates landing distance in feet to initial landing speed s: D ( s ) = 1 10 s 2 − 3 s + 22 for s ≥ 50 where s is in feet per second. a. Find the landing distance for a plane traveling 150 ft/sec at touchdown. b. If the landing speed is too fast, the pilot may run out of runway. If the speed is too slow, the plane may stall. Find the maximum initial landing speed of a plane for a runway that is 1000 ft long. Round to one decimal place.
The landing distance that a certain plane will travel on a runway is determined by the initial landing speed at the instant the plane touches down. The function D relates landing distance in feet to initial landing speed s: D ( s ) = 1 10 s 2 − 3 s + 22 for s ≥ 50 where s is in feet per second. a. Find the landing distance for a plane traveling 150 ft/sec at touchdown. b. If the landing speed is too fast, the pilot may run out of runway. If the speed is too slow, the plane may stall. Find the maximum initial landing speed of a plane for a runway that is 1000 ft long. Round to one decimal place.
Solution Summary: The author explains how to calculate the landing distance for a plane travelling 150 ft/sec.
The landing distance that a certain plane will travel on a runway is determined by the initial landing speed at the instant the plane touches down. The function D relates landing distance in feet to initial landing speed s:
D
(
s
)
=
1
10
s
2
−
3
s
+
22
for
s
≥
50
where s is in feet per second.
a. Find the landing distance for a plane traveling 150 ft/sec at touchdown.
b. If the landing speed is too fast, the pilot may run out of runway. If the speed is too slow, the plane may stall. Find the maximum initial landing speed of a plane for a runway that is 1000 ft long. Round to one decimal place.
I want to learn this topic l dont know anything about it
Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution.
Remember that:
A matrix is in row echelon form if
Any row that consists only of zeros is at the bottom of the matrix.
The first non-zero entry in each other row is 1. This entry is called aleading 1.
The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.
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