Haha i somehow saw this when i was looking through my blog archives.

What can you learn from DotA? Physics!!!

1. 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.

2. 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.

3. Lawn mowing creeps
If Juggernaut spins with constant velocity, ω, then the centripetal acceleration can be defined as a= ω²r.The energy of his spinning blade equal to mrω²/2. Where m is the blade’s mass and r is the length of Juggernaut’s hand.

4. 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(θ) where θ is the angle of the fired arrow.The y-axis is given by Vy=VoSin(θ) – 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(2θ)/g.

5. 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.

6. 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.

7. Waving creeps to afterlife

Akasha’s wave’s wavelength (λ) 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=fλ where f is the wave’s frequency.


LOL i almost wanted to use this for physics ACE last year...
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