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

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Introduction

Section: Chapter Questions

Problem 9WUE

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