A fire hose ejects a stream of water at an angle of 33.6 ° above the horizontal. The water leaves the nozzle with a speed of 29.6 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?

1 answer

as you recall, the equation of motion is

y = tanθ x - g/(2(v cosθ)^2) x^2

So, plugging in your numbers,

y = 0.664x - 0.00806x^2
That's a parabola with vertex at x=41.2