1. Catapult
Farsquaad

2. Problem Statement Torsion is not strong enough to propel the objects.
Base has to be very stable.
Need the right measurements to insure success when launching.

5. Operation and Application
Has to have a base first.
A rope for kinetic energy to launch.
A place to store the projectiles for launch.
To figure out how long a projectile will be in the air we use a quadratic formula.

7. History
Catapults were first created by the Chinese and later introduced to the Europeans.
Catapults were mostly used during siege warfare.
A siege engine is a device that is designed to break or get around castle walls.
They were accidently created in an attempt to make the crossbow reach greater distances.
There are many type but the 3 main types are the Ballista, Mangonel, and Trebuchet.

9. Uses
Catapults were used to hurl numerous objects over or at city walls.
These included stones, arrows, diseased bodies, dung, tar, pots of fire, and more.
They were in use to either protect a city or invade one.
Batter fortifications.
Sink ships

11. Ballista The Ballista was known as “The Giant Crossbow”
The name was derived from the Greek word “Ballistes” which means to throw.
Worked by using tension it was one of the catapults invaluable for siege attack.
It was great at penetrating and the projectiles could go through more than two people.
Deadly accuracy

12. Mangonel It fired projectiles through a bowl shaped bucket.
It was used to shoot various missiles at castles and cities.
Not as accurate it had a better range than a trebuchet.
How the mangonel works is by pulling a long arm with a bucket at the end then releasing.

14. Trebuchet Counter weight siege catapult.
Made in China in 300 BC and was introduced to Europe in 500 AD
Was able to shoot missiles up to 300 yards.
Was more energy efficient .
Consists simply of a pivoting beam and a counterweight that rotates the beam through an arc.

15. Current Events
The only Catapult used today is for aircraft on War Ships. For very heavy and large fighter jets they use a catapult to lift them fast off the ships. This is basically known as a aircraft catapult.

16. Impacts
Catapults were part of the result of many cities being taken over
Today, Catapults make it possible for heavy jets to launch off of ships.
They made many technology today possible such as the Mortar.

17. Mathematics
We can also use trigonometry for the initial velocity from the ground to the maximum height.
Galileo noticed that the curve looked similar to a parabola.
Used mathematics to make it more sustainable to wind, and not succumb to gravity in less of a time.

18. Equations
A general equation for a catapult is d = vt sin(x) - 4.9t^2. D stands for distance while V is initial velocity. X is the angle in which you launch the projectile. Sin(x) is the horizontal component of going over something.
Another equation is U=½kx2 for tension.

19. Electric Power
Are moving charges to some other form of heat, mechanical energy, or energy stored in electric or magnetic fields.
There are mainly three conventional source of electric power generation, and they are thermal, hydal, and nuclear energy.

20. Electric power uses
Lighting
Computers
Railway traction

21. Impacts of Electric Power
Gives us easy access to resources
The ability to refrigerate
Having light with fire

22. Work cited