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In a naval battle, a battleship is attempting to fire on a frigate. The battleship is a distance d₂ = 2,200 m to the east of the peak of a mountain on an island, as shown in the figure below. The frigate is attempting to evade cannon shells fired from the battleship by hiding on the west side of the island. The initial speed of the shells that the battleship fires is v, = 245 m/s. The peak of the mountain is h = 1,640 m above sea level, and the western shore of the island is a horizontal distance d₂ = 290 m from the peak. What are the distances (in m), as measured from the western shore of the island, at which the frigate will be safe from fire from the battleship? (Note the figure is not to scale. You may assume that the height and width of the frigate are small compared to d, and h.)

In a naval battle, a battleship is attempting to fire on a frigate. The battleship is a distance d₂ = 2,200 m to the east of the peak of a mountain on an island, as shown in the figure below. The frigate is attempting to evade cannon shells fired from the battleship by hiding on the west side of the island. The initial speed of the shells that the battleship fires is v, = 245 m/s. The peak of the mountain is h = 1,640 m above sea level, and the western shore of the island is a horizontal distance d₂ = 290 m from the peak. What are the distances (in m), as measured from the western shore of the island, at which the frigate will be safe from fire from the battleship? (Note the figure is not to scale. You may assume that the height and width of the frigate are small compared to d, and h.)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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In a naval battle, a battleship is attempting to fire on a frigate. The battleship is a distance d₁ = 2,200 m to the east of the peak of a mountain on an island, as shown in the figure below. The frigate is attempting to evade cannon shells fired from the battleship by hiding on the west side of the island. The initial speed of the shells that the battleship fires is v, = 245 m/s. The peak of the mountain is h = 1,640 m above sea level, and the western shore of the island is a horizontal distance d₂ = 290 m from the peak. What are the distances (in m), as measured from the western shore of the island, at which the frigate will be safe from fire from the battleship? (Note the figure is not to scale. You may assume that the height and width of the frigate are small compared to d, and h.) less than m, or more than d₁ m 4
Transcribed Image Text:In a naval battle, a battleship is attempting to fire on a frigate. The battleship is a distance d₁ = 2,200 m to the east of the peak of a mountain on an island, as shown in the figure below. The frigate is attempting to evade cannon shells fired from the battleship by hiding on the west side of the island. The initial speed of the shells that the battleship fires is v, = 245 m/s. The peak of the mountain is h = 1,640 m above sea level, and the western shore of the island is a horizontal distance d₂ = 290 m from the peak. What are the distances (in m), as measured from the western shore of the island, at which the frigate will be safe from fire from the battleship? (Note the figure is not to scale. You may assume that the height and width of the frigate are small compared to d, and h.) less than m, or more than d₁ m 4
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