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28 March, 19:08

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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  1. 28 March, 19:15
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    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.
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