In a naval battle, a battleship is attempting to fire on a destroyer. The battleship is a distance d1 = 2,150 m to the east of the peak of a mountain on an island, as shown in the figure below. The destroyer 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 vi = 245 m/s. The peak of the mountain is h = 1,840 m above sea level, and the western shore of the island is a horizontal distance d2 = 250 m from the peak. What are the distances (in m), as measured from the western shore of the island, at which the destroyer 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 destroyer are small compared to d1 and h.)

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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In a naval battle, a battleship is attempting to fire on a destroyer. The battleship is a distance

d1 = 2,150 m

to the east of the peak of a mountain on an island, as shown in the figure below. The destroyer 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

vi = 245 m/s.

The peak of the mountain is

h = 1,840 m

above sea level, and the western shore of the island is a horizontal distance

d2 = 250 m

from the peak. What are the distances (in m), as measured from the western shore of the island, at which the destroyer 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 destroyer are small compared to d1 and h.)

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