See what I found on the net, not written by me one..check it out! For those who play DotA, treat it as a way of learning or you will get nothing but eye cancer. Now let`s learn some physics concept in this game.

**Turbo buffalo**

This is the very basic of physics. If the Spirit Breaker`s acceleration is a, then his velocity after time t is V=Vo + at, where Vo is the initial velocity. The distance after time t equals to x=Vot + ½at². But in the game, Spirit Breaker`s velocity becomes constant after a few seconds accelerating to the enemy. I guess that this is due to the air resistant and friction force.

**Beast master the lumberjack**

Rexar`s axes return back to his hand after slashing the enemies.Why?

**Luna`s bouncing shuriken**

Luna`s attack reduces to 40% for every time her shuriken bounce. Here, we can say that 4/10 X ½mVo²=½mvV² where Vo is the initial velocity and V is the velocity after the shuriken collides. The shuriken`s mass doesn`t change so we can simplify the equation to V= Vo(4/10)^½.

**Zapping charge**

Consider that the electric balls contain same amount of electric charge, q1, q2, q3. The force between q1 and q2 is given by F=k|q1.q2|/r², k =8.987551 X 10^9. As the force and distance between q1, q2 and q3 are the same, the electric balls are in equilibrium state.

**Lawn mowing creeps**

If Juggernaut spins with constant velocity, Ï‰, then the centripetal acceleration can be defined as a= Ï‰²r.The energy of his spinning blade equal to mrÏ‰²/2. Where m is the blade`s mass and r is the length of Juggernaut`s hand.

**Cooking enemy`s tower**

Let`s say the specific heat of scourge tower is given by value c. Then the energy needed to increase the tower`s temperature by 500 degree Celsius is given by Q=500mc where m is the mass of the tower. If Lesrac`s spell is P[watt] then the time taken to destroy the tower is 500mc/P.Consider the tower burns at 500 degree Celsius. Unfortunately, this spell only burns organic creatures, not building.

**Bone with his searing arrow**

If we neglect the air resistant, the arrow is falling with g acceleration.The x-axis velocity is given by Vx=VoCos(Î¸) where Î¸ is the angle of the fired arrow.The y-axis is given by Vy=VoSin(Î¸) €“ gt where g is gravity and t is the time after the arrow was fired. Then we can find the maximum distance that the arrow can go from the equation:R=Vo²sin(2Î¸)/g.

**Rhasta`s marathon**

Rhasta is one of the slowest heroes in Dota, probably slower than the creeps. If Rhasta`s velocity is Vr and creeps` velocity is Vc, Rhasta is moving Vr-Vc relative to the creeps.

**Butcher`s spring of death**

Let the Leoric`s mass is m and the distance between Pudge and Leoric is x.The energy needed to extend the hook to x distance is given by E=½kx² where k is the force constant of the hook. The work done to pull Leoric is xma. From the conservation energy theory, we will get xma=½kx².By simplifies this we can express the Leoric acceleration toward Pudge by a==½kx/m.

**Waving creeps to afterlife**

Aqasha`s wave`s wavelength (Î») is constant. We can make a hypothesis here that the air pressure and density doesn`t change even if a battle occurs. The velocity of the wave can be expressed as v=fÎ» where f is the wave`s frequency.

Source : Jadzine

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