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 a mathematical relationship with all the details, not explanations and definitions
4 sinx cos2x+4 cos x sin2x-1=0
For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.)
6 -2
-[47]
A =
-3 1
P =
Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal.
P-1AP =
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