A medieval city has the shape of a square and is protected by walls of length 500m and height 15m (assume zero width). You are the commander of an attacking army and the closest you can get to the wall is 100m. Your plan is to set fire to the city by catapulting flaming rocks over the wall (with an initial speed of 80m/s). By following the parts below, we want to know what range of angles, in degrees, you should order your troops to set the catapult? (Assume the path of the rocks is perpendicular to the wall, the ground is level with walls and you only want to hit inside the city (not the back walls)). Take the acceleration due to gravity to be 9.8 m/s2.
A medieval city has the shape of a square and is protected by walls of length 500m and height 15m (assume zero width). You are the commander of an attacking army and the closest you can get to the wall is 100m. Your plan is to set fire to the city by catapulting flaming rocks over the wall (with an initial speed of 80m/s). By following the parts below, we want to know what range of angles, in degrees, you should order your troops to set the catapult? (Assume the path of the rocks is perpendicular to the wall, the ground is level with walls and you only want to hit inside the city (not the back walls)). Take the acceleration due to gravity to be 9.8 m/s2.
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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found angles:
1: 4.404 degrees
2: 85.60 degrees

Transcribed Image Text:A medieval city has the shape of a square and is protected by walls of length 500m and
height 15m (assume zero width). You are the commander of an attacking army and the
closest you can get to the wall is 100m. Your plan is to set fire to the city by catapulting
flaming rocks over the wall (with an initial speed of 80m/s). By following the parts
below, we want to know what range of angles, in degrees, you should order your troops
to set the catapult? (Assume the path of the rocks is perpendicular to the wall, the
ground is level with walls and you only want to hit inside the city (not the back walls)).
Take the acceleration due to gravity to be 9.8 m/s².
1
(b) Find another inequality on 0 that expresses that the projectile should go over the
nearest wall (you do not need to explicitly solve it for 0; it can and will have
expressions like tan 0 and cos 0 in it).
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