Firemen are shooting a stream of water at a burning building. A high-pressure ho

Question

Firemen are shooting a stream of water at a burning building. A high-pressure hose shoots out the water with a speed of 27.0m/s as it leaves the hose nozzle. Once it leaves the hose, the water moves in projectile motion. The firemen adjust the angle of elevation of the hose until the water takes 3.20s to reach a building 41.0m away. You can ignore air resistance; assume that the end of the hose is at ground level. Find the angle of elevation of the hose. Find the speed of the water at the highest point in its trajectory.

Explanation / Answer

PART (E) vx = 41/3.2 = 12.8125 ************* vy0 = v(27*27-12.8125*12.8125) = 23.766 m/s ------------------------------------------ vy = vyo - gt = 23.766 - 9.8*3.2 = -7.594 -------------------------------------------------------------------------------------------- v = v(7.594*7.594+12.8125*12.8125) = 14.9 m/s

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