Learn Physics With Functional Programming: A - Ha...

In an imperative style, one might loop through time and update a y variable. In Haskell, we define the physics as a pure function:

type Vector = (Double, Double) type State = (Vector, Vector) -- (Position, Velocity) applyGravity :: Double -> State -> State applyGravity dt ((x, y), (vx, vy)) = let g = -9.81 newVy = vy + g * dt newX = x + vx * dt newY = y + vy * dt in ((newX, newY), (vx, newVy)) Use code with caution. Learn Physics with Functional Programming: A Ha...

Learning physics through functional programming encourages students to think about the "what" rather than the "how." By removing the overhead of memory management and mutable state, the student is left with the pure logic of the universe. This methodology not only produces better programmers but more rigorous physicists. In an imperative style, one might loop through