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A medieval city has the shape of a square and is protected by walls with length 500 meters and height 15 meters. You are the commander of an attacking army and the closest you can get to the wall is 100 meters. Your plan is to set fire to the city by catapulting heated rocks over the wall with an initial speed of 80 meters per second. At what range of angles should you tell your men to set the catapult? Assume that you will be firing from exactly 100 meters from the wall and that you will be firing perpendicular to the wall. We also assume that the walls of the city are impervious to heated rocks.
This started as a way to express the admins' love of calculus and math in general. As result, this has turned into a gathering place for math-based humor and weekly challenges.
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