Castle Siege

Projectile Motion. What is speed of…?

A trebuchet was a hurling machine built to attack the walls of a castle under siege. A large stone could be hurled against a wall to break apart the wall. The machine was not placed near the wall because then arrows could reach it from the castle wall. Instead, it was positioned so that the stone hit the wall during the second half of its flight. Suppose a stone is launched with a speed of v0 = 28.0 m/s and at an angle of θ0 = 40.5°.
(a) What is the speed of the stone if it hits the wall just as it reaches the top of its parabolic path?
(b) What is the speed of the stone if it hits the wall when it has descended to half that height?
(c) As a percentage, how much faster is it moving in part (b) than in part (a)?

For trajectories, the initial velocity has x and y components as:

Vx = Vcos(Θ) ; horizontal component
Vy = Vsin(Θ) ; vertical component

You can derive the equations below from the basic equations of motion.

Max height:

h = Vy²/2g
h = v²sin²(Θ)/2g

Max distance:

d = v²sin(2Θ)/g

; trig identity sin(2Θ) = 2sin(Θ)cos(Θ)

d = v²2sin(Θ)cos(Θ)/g

Total time in flight:

t = 2 Vy/g
t = 2 Vsin(Θ)/g

For (a) the speed would be the initial horizontal velocity only; the vertical velocity would be 0.

For (b) the speed would be a combination of the initial horizontal velocity and the vertical velocity achieved dropping half the max height.

For (c) calculate the ratio of (b) to (a).

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Starting Up Lineage 2 Mmorpg

The game is different from other massively multiplayer online games because it is staged as a prequel set 150 years from the first lineage MMORPG. When you play you create your avatar, and chose from one of 5 races that are available which are: humans, dwarfs, elf’s, dark elf’s and orcs, a sixth class the kameal that is available with the expansion. The game seems to play primarily on fighting monsters allot to earn enough adena to purchase the high priced weapons and armor you need to survive.

Adena is the currency used in Lineage 2. It comes from the monsters you play against, NPC’s, quests, vendors and other players in the game. The best way to make Lineage 2 Adena is to sell items to players. There are certain items weapons and such that players need and are willing to trade their adena for from other people because of the high prices in stores. Other ways to earn adena is to farm items from quests or monsters and sell these to the vendors. A tedious process, but over time your Lineage 2 Adena can add up exceedingly. Clans may also earn Adena by taxing the surrounding lands if they own a Castle in the area. Having good gear and items is vital to surviving and advancing in the game, which makes adena far more important in lineage 2 than the money system in most other massively multiplayer online RPG’s.

Players in the game may chose to become a fighter or a mystic profession to start out with; you can at level twenty, change into more advance professions then again at level forty. Once you’re set with the adena you want and the armor and weapons you need to thrive. You can do sagas, which are the main stories quests of the game. There is a lot of grind in lineage 2 meaning that is there is a lot of working up to levels by means of hacking through numerous monsters and quests

The look and the sound of lineage 2 is one of top notch quality, the game has an appropriate reproduction like orchestral music score that plays in specific regions of the game, and you’ll also see huge, beautiful vistas that are full of detailed cities and elaborate statuaries as well as highly detailed character models.

The game isn’t a pick up and go for everybody. There is a definite line drawn between the people that can handle the repetitive game play of this nature and those who cannot, but ultimately it’s up to you to decide.

Lineage 2 has one of the best end game play for pvp players. It consists of strategy and great tactics used for the castle sieges. There are vast amount of possibilities that can happen during battle. Castle sieges are held on a weekly basis, usually on a weekend. Armies of alliances and guilds are required to join forces to either defend or take over a castle. The rewards are great due to the new tax laws you are granted for owning that castle.

About the Author

Tila Miles enjoys playing many MMORPGs such as Lineage 2. She has also provided a method of acquiring fast and easy Adenas. You can purchase Lineage 2 Adena from her store in less than 24 hours. Also for fans who wishes to acquire it themselves, she has written some very effect Lineage 2 Adena farming guides.