Problem 3.23 Firemen are shooting a stream of water at a burning building. A hig

Question

Problem 3.23

Firemen are shooting a stream of water at a burning building. A high-pressure hose shoots out the water with a speed of 25.0m/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 3.00s to reach a building 37.0m away. You can ignore air resistance; assume that the end of the hose is at ground level.

Part A

Find the angle of elevation of the hose.

Part B

Find the speed of the water at the highest point in its trajectory.

Part C

Find the acceleration of the water at the highest point in its trajectory.

Part D

How high above the ground does the water strike the building?

Part E

How fast is it moving just before it hits the building?

Explanation / Answer

In 3 seconds, the water moves a horizontal distance of 45 meters.
Horizontal velocity = 25 * cos ?
25 * cos ? * 3 = 45
cos ? = 45

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