What is the range advantage of the defenders over the attackers, i.e. the width of the zone where the defenders can hit the attackers, but the attackers cannot yet hit the defenders?
What is the range advantage of the defenders over the attackers, i.e. the width of the zone where the defenders can hit the attackers, but the attackers cannot yet hit the defenders?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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What is the range advantage of the defenders over the attackers, i.e. the width of the zone where the defenders can hit the attackers, but the attackers cannot yet hit the defenders?
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).
Transcribed Image Text:parapet
H=15m
70°
moat
a=30m
escarpment
outer perimeter
|h=6m
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