A fire fighter 32.0 m away from a building, directs a stream of water from a fire hose at an angle of 37 with speed of 40.0 m/s. At what height does the stream hit the building? C. 19.1 m D. 20.9 m D 32 5

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Chapter3: Vectors
Section: Chapter Questions
Problem 3.7P: A surveyor measures the distance across a straight river by the following method (Fig. P3.7)....
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iven:
V = 20-(Horizontally)
Vyi = 0-,Required: the horizontal distance of the stone.
Vxi = 20.
1
Step1: y yi+Vyit-gt2
30%= 20 +0-
10 x t?
t= 2.0 seconds.
Step2: X = X, + vVxit = 0+ 20 x 2.0 = 40 meter.
- Correct Answer is A.
Problem (4):
A fire fighter 32.0 m away from a building, directs a stream of water from a fire hose at an angle
of 37 with speed of 40.0 m/s. At what height does the stream hit the building?
A.21.9 m
B. 22.5 m
C. 19.1 m
D. 20.9 m
Solution:
(X;%3D0
Xf = 32 m
%3D
Given:
Required: the height the stream will reach on the building.
Vi = 40-
0;=370
Vxi =V; Cos 0 = 40 x cos 37 = 31.9-
Step1:
Vyi = Vị sin 0 = 40 x sin 37 = 24.1-
%3D
%3D
%3D
%3D
Step2: X = X, + Vxit
%3D
32 =0+31.9 xt t%3D 1.0 second
Step3: y = y,+ Vyjt-gt
2812
3D0+
(24.1 x 1.0)-x 10 x 12)
3D19.1 meter.
3 Correct Answer is C..
59
S.
Transcribed Image Text:iven: V = 20-(Horizontally) Vyi = 0-,Required: the horizontal distance of the stone. Vxi = 20. 1 Step1: y yi+Vyit-gt2 30%= 20 +0- 10 x t? t= 2.0 seconds. Step2: X = X, + vVxit = 0+ 20 x 2.0 = 40 meter. - Correct Answer is A. Problem (4): A fire fighter 32.0 m away from a building, directs a stream of water from a fire hose at an angle of 37 with speed of 40.0 m/s. At what height does the stream hit the building? A.21.9 m B. 22.5 m C. 19.1 m D. 20.9 m Solution: (X;%3D0 Xf = 32 m %3D Given: Required: the height the stream will reach on the building. Vi = 40- 0;=370 Vxi =V; Cos 0 = 40 x cos 37 = 31.9- Step1: Vyi = Vị sin 0 = 40 x sin 37 = 24.1- %3D %3D %3D %3D Step2: X = X, + Vxit %3D 32 =0+31.9 xt t%3D 1.0 second Step3: y = y,+ Vyjt-gt 2812 3D0+ (24.1 x 1.0)-x 10 x 12) 3D19.1 meter. 3 Correct Answer is C.. 59 S.
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