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Setup. A historical Vauban bastion fortification features a horizontal-top hill of height H=15 meters. Viewed in a vertical cross-section perpendicular to its face, the hill slopes down from the parapet at 70 degrees from the horizontal, towards a horizontal moat of length a=30 meters, which terminates at an escarpment of height h=6 meters above the moat. The outer perimeter starts from the top of the escarpment and continues outward horizontally. The inspiration example is the Jaca citadel in Spain (see aerial photo below). A diagram of the setup is provided below. A group of young modern enthusiasts is using the historical fortification for recreation. Their gas cannons hurl small pumpkins at 30 m/s initial velocity. These cannons can be elevated up to 30 degrees and depressed down to -10 degrees. The defending artillery is stationed at the parapet of the bastion, i.e. at the top edge of the hill. You can ignore air resistance. Assume all firing is done perpendicular to the face of the bastion (i.e. in the plane of the diagram below)

Setup. A historical Vauban bastion fortification features a horizontal-top hill of height H=15 meters. Viewed in a vertical cross-section perpendicular to its face, the hill slopes down from the parapet at 70 degrees from the horizontal, towards a horizontal moat of length a=30 meters, which terminates at an escarpment of height h=6 meters above the moat. The outer perimeter starts from the top of the escarpment and continues outward horizontally. The inspiration example is the Jaca citadel in Spain (see aerial photo below). A diagram of the setup is provided below. A group of young modern enthusiasts is using the historical fortification for recreation. Their gas cannons hurl small pumpkins at 30 m/s initial velocity. These cannons can be elevated up to 30 degrees and depressed down to -10 degrees. The defending artillery is stationed at the parapet of the bastion, i.e. at the top edge of the hill. You can ignore air resistance. Assume all firing is done perpendicular to the face of the bastion (i.e. in the plane of the diagram below)

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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Is there a dead zone, i.e. a zone where the attackers are safe from defender fire? If yes, where is it?
Setup. A historical Vauban bastion fortification features a horizontal-top hill of height H=15 meters. Viewed in a vertical cross-section perpendicular to its face, the hill slopes down from the parapet at 70 degrees from the horizontal, towards a horizontal moat of length a=30 meters, which terminates at an escarpment of height h=6 meters above the moat. The outer perimeter starts from the top of the escarpment and continues outward horizontally. The inspiration example is the Jaca citadel in Spain (see aerial photo below). A diagram of the setup is provided below. A group of young modern enthusiasts is using the historical fortification for recreation. Their gas cannons hurl small pumpkins at 30 m/s initial velocity. These cannons can be elevated up to 30 degrees and depressed down to -10 degrees. The defending artillery is stationed at the parapet of the bastion, i.e. at the top edge of the hill. You can ignore air resistance. Assume all firing is done perpendicular to the face of the bastion (i.e. in the plane of the diagram below).
Transcribed Image Text:Setup. A historical Vauban bastion fortification features a horizontal-top hill of height H=15 meters. Viewed in a vertical cross-section perpendicular to its face, the hill slopes down from the parapet at 70 degrees from the horizontal, towards a horizontal moat of length a=30 meters, which terminates at an escarpment of height h=6 meters above the moat. The outer perimeter starts from the top of the escarpment and continues outward horizontally. The inspiration example is the Jaca citadel in Spain (see aerial photo below). A diagram of the setup is provided below. A group of young modern enthusiasts is using the historical fortification for recreation. Their gas cannons hurl small pumpkins at 30 m/s initial velocity. These cannons can be elevated up to 30 degrees and depressed down to -10 degrees. The defending artillery is stationed at the parapet of the bastion, i.e. at the top edge of the hill. You can ignore air resistance. Assume all firing is done perpendicular to the face of the bastion (i.e. in the plane of the diagram below).
parapet H=15m 70° moat a=30m escarpment outer perimeter |h=6m
Transcribed Image Text:parapet H=15m 70° moat a=30m escarpment outer perimeter |h=6m
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