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Newton's Second Law
Your ball's engine pushes it forward with a constant force. Mathematically:
F = m · a
Since your ball has constant mass, engine force translates directly into relentless acceleration. Your only weapon against this energy is the brake.

Hooke's Law (Magnetic Leash)
The ball doesn't fly blindly — it's tethered to the guide line (the dashed line inside the track) by an invisible rubber leash. This is the spring force:
F = -k · x
Where x is your displacement from the dashed line. This force pulls you into the turn. But the faster you go, the more the leash stretches.

Viscous Damping (Track Stabilization)
If we only had Hooke's "leash," your ball would wobble side to side like crazy jelly after every maneuver. To keep the ride smooth, we added damping:
F_d = -c · v
The drag force (F_d) is proportional to your lateral velocity (v). It's like driving through thick honey — it stabilizes your line and prevents post-corner oscillation.

The Speed-Squared Curse
This is the most important lesson: centrifugal force trying to throw you off every curve doesn't grow linearly. It grows with the square of your speed. Enter a corner twice as fast as you should, and the force pushing you into the wall is four times greater. That's why braking a split second too late often ends in disaster.

Inelastic Collisions
In this game, walls are not trampolines. On impact, an inelastic collision occurs — kinetic energy is absorbed by the barriers. The result? Drastic momentum loss and having to build speed all over again.

Tip: Brake earlier than your ego tells you. Your instinct says "I'll make it," but the square of your speed pulls you toward the wall.