# A fire hose ejects a stream of water at an angle of 31.7° above the horizontal. The water leaves the nozzle with a speed of 26.5 m/s.?

Assuming that the water behaves like a projectile, how far from a building should the fire hose be located to hit the highest possible fire?

### 2 Answers

- Old Science GuyLv 79 months ago
...

find Vyi and Vx

I use vector capable calculator

026.5@31.7° = Vyi. Vx = 22.55 , 13.92 i

find time to top of arc (highest point)

t = Vyi / g = 22.55 / 9.81 = 2.30 s

find x distance at that time

x = Vx t = 13.92 * 2.30 = 32.0 m away

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- billrussell42Lv 79 months ago
A fire hose ejects a stream of water at an angle of 31.7° above the horizontal. The water leaves the nozzle with a speed of 26.5 m/s.?

Assuming that the water behaves like a projectile, how far from a building should the fire hose be located to hit the highest possible fire?

R = (26.5²/9.8)sin(2•31.7) = _________ m

you have a calculator

range of object projected at an angle θ

R = (V²/g)sin(2θ)

V is initial velocity in m/s

g is the acceleration of gravity 9.8 m/s²

Is there anyway you can give me the final answers, I can not seem to find the right ones.

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