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Answer to Question #1730 in Mechanics | Relativity for qolani sambo

Question #1730
A fire fighter, 50.0 m away from a building ,directs a stream of water from a firehouse at an angle of 30 degrees above the horizontal as in the figure below. If the initial speed of the stream is 40m/s, at what height does the water strike the building?

Expert's answer
I. Let's consider the motion by projections:
Horizontal: s = v0 cos(30) t
Vertical: h = v0 sin(30)t - gt2/2

t = s/v0 cos(30) = 50/40* (√3/2) = 1.44 s
h = 40*1/2 * 1.44 - 10*1.442/2 = 18.38 m
Answer: 18.4 m

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