A fire hose ejects a stream of water at an angle of 35.0° above the horizontal. The water leaves the nozzle with a speed of 25.0 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?

The fire hose be located 59.80 m away to hit the highest possible fire.

Explanation:

Vertical velocity = 25 sin35 = 14.34 m/s

Acceleration = - 9.81m/s²

At maximum height, final vertical velocity = 0 m/s

We have v = u + at

Substituting

0 = 14.34 - 9.81 x t

t = 1.46 s

Time of flight of water = 2 x 1.46 = 2.92 s

Horizontal velocity = 25 cos35 = 20.48 m/s

Horizontal displacement = 20.48 x 2.92 = 59.80 m

So, the fire hose be located 59.80 m away to hit the highest possible fire.