Robot Free-Kick Trajectory Lab — Power, Curve & Trajectory (2D)

This is the 2D companion to the orbiting 3D Kick Robot Simulator, redrawn as a plan view of the pitch so the shot's line and curve read clearly from above. It runs the same physics as the original: launch speed from the power slider, a ballistic arc from elevation, an initial aim toward the target x-position, gravity and exponential air drag during flight, and a spin-driven sideways curve that builds the longer the ball is airborne — with the same goal-frame, post and crossbar checks deciding GOAL / WIDE / OVER on arrival.