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 vó sin(20) from lectures, set up two inequalities on sin(20) (a) Using the formula xmax that express the fact that the projectile lands inside the city.
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 vó sin(20) from lectures, set up two inequalities on sin(20) (a) Using the formula xmax that express the fact that the projectile lands inside the city.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
vý sin(20) from lectures, set up two inequalities on sin(20)
(a) Using the formula xmax
that express the fact that the projectile lands inside the city.
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