Calculus 3

posted by .

A medieval city has the shape of a square and is protected by walls with length 550 m and height 16 m. You are the commander of an attacking army and the closest you can get to the wall is 100 m. Your plan is to set fire to the city by catapulting heated rocks over the wall (with an initial speed of 80 m/s). At what range of angles should you tell your men to set the catapult? (Assume the path of the rocks is perpendicular to the wall. Round the answer to one decimal place. g ≈ 9.8 m/s2)

I have no idea where to start.

  • Calculus 3 -

    the range R of a projectile fired with angle v at angle θ is

    R = v^2 sin(2θ)/g

    You have the numbers; solve for θ and you should get two answers. Those will be the minimum and maximum θ which for that range.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    An army of armadillios is attacking Cosine Castle where the coyotes reside. If an army must clear the 45 meter walls by 5 meters, at what angle must they set their cannons (from the horizontal) in order to fire inside the castle walls?
  2. Math

    Allison's 11th birthday is just around the corner. Her parents are remodeling her bedroom for her birthday. They will replace her carpet and repaint her walls Allison's Room Height 8ft Width 11ft Length 13ft 1.Allison wants the top …
  3. algebra

    john is preparing to paper the walls of his room, which has the shape of a rectangular prism. The width is 14 feet, the length is 13 feet, and the height is 8 feet. What is the total surface area of the walls of his room?
  4. Calculus

    Pyramid - A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of …
  5. Sentence Question?? LANG ARTS

    Choose the option that corrects the sentence below. "Commander-in-Chief Sam Houston defeated the Mexican army and captured Santa Anna in 1836." A. Commander-in-Chief, Sam Houston, defeated the Mexican army and captured Santa Anna in …
  6. Comma help

    Choose the option that corrects the sentence below. If the sentence is correct, select “d. The sentence is correct.” Commander-in-Chief Sam Houston defeated the Mexican army and captured Santa Anna in 1836 A Commander-in-Chief, …
  7. Calc.

    A dog kennel owner needs to build a dog run (rectangular area) adjacent to a kennel cage (so that it is in the shape of a rectangle, but only three sides need to be built- one long side is already there). The short side walls of the …
  8. math

    the floor of a room is rectangle in shape its length is 5 meter and breadth is 4 mete. the area of its four walls is 108 sq.m. find its height
  9. 8th Grade Language Arts Ms. Sue Help

    Select whether the sentence below is a simple, compound, complex or compound-complex sentence However, when David came to conquer the city with his army, he discovered that the Jebusites got their drinking water from a spring just …
  10. Math

    1. At midnight, you are 60 feet due north of Jonas. You run due east at ten feet per second. Jonas walks two feet per second due north. How many seconds after midnight is Jonas closest to you?

More Similar Questions