Water from a fire hose is directed toward a building as shown in the figure below. The water leaves the hose at a speed of v, = 40.0 m/s and at an angle of 6, = 35.0° above the horizontal. The base of the hose (at ground level) is a horizontal distance d 49.0 m away from the bullding. Find the height h (in m) where the water strikes the building.
Water from a fire hose is directed toward a building as shown in the figure below. The water leaves the hose at a speed of v, = 40.0 m/s and at an angle of 6, = 35.0° above the horizontal. The base of the hose (at ground level) is a horizontal distance d 49.0 m away from the bullding. Find the height h (in m) where the water strikes the building.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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
Transcribed Image Text:**Problem Statement:**
Water from a fire hose is directed toward a building as shown in the figure below. The water leaves the hose at a speed of \( v_i = 40.0 \, \text{m/s} \) and at an angle of \( \theta_i = 35.0^\circ \) above the horizontal. The base of the hose (at ground level) is a horizontal distance \( d = 49.0 \, \text{m} \) away from the building. Find the height \( h \) (in meters) where the water strikes the building.
**Diagram Explanation:**
The diagram depicts a water stream from a firefighter's hose directed at a building.
- The hose nozzle is positioned at ground level.
- The water is projected at an initial velocity \( v_i = 40.0 \, \text{m/s} \).
- The angle \( \theta_i \) at which the water is projected is \( 35.0^\circ \) above the horizontal plane.
- The building is located at a horizontal distance \( d = 49.0 \, \text{m} \) from the nozzle.
- The trajectory of the water forms a parabolic path indicated by a curved arc.
The task is to calculate the vertical height \( h \) at which the water impacts the building.
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