What are the minimal and maximal horizontal ranges of the defender artillery? parapetH=15m70°moata=30mescarpmentouter perimeter|h=6m Setup. A historical Vauban bastion fortification features a horizontal-top hill of heightH=15 meters. Viewed in a vertical cross-section perpendicular to its face, the hill slopesdown from the parapet at 70 degrees from the horizontal, towards a horizontal moat oflength a=30 meters, which terminates at an escarpment of height h=6 meters above themoat. The outer perimeter starts from the top of the escarpment and continues outwardhorizontally. 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 beelevated up to 30 degrees and depressed down to -10 degrees. The defending artillery isstationed at the parapet of the bastion, i.e. at the top edge of the hill. You can ignore airresistance. Assume all firing is done perpendicular to the face of the bastion (i.e. in theplane of the diagram below).

Name: What are the minimal and maximal horizontal ranges of the defender art
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: What are the minimal and maximal horizontal ranges of the defender artillery? parapetH=15m70°moata=30mescarpmentouter perimeter|h=6m Setup. A historical Vauban bastion fortification features a horizontal-top hill of heightH=15 meters. Viewed in a ver