g 'A fire hose ejects a stream of water at an angle of 31.6o above the horizontal. The water leaves the nozzle with a speed of 29.3 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?

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Physics

8 July, 10:25

g 'A fire hose ejects a stream of water at an angle of 31.6o above the horizontal. The water leaves the nozzle with a speed of 29.3 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?

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Cale Mercado · Answer 1

39.08 m

Explanation:

θ = 31.6 degree

u = 29.3 m/s

Let it hits at the maximum height h. It takes half of the time of flight to cover the distance.

T = 2 u Sinθ / g

t = T / 2 = u Sinθ / g = (29.3 x Sin 31.6) / 9.8 = 1.566 s

The horizontal distance covered in this time is

d = u Cosθ x t = 29.3 x Cos 31.6 x 1.566 = 39.08 m

Thus, the fire hose be located at a distance of 39.08 m from the building.