Shell & ascent trail
Altitude vs. time
Speed vs. time
This 2D companion strips the 3D fireworks show down to one shell at a time so the physics is legible: a side panel exposes launch angle, muzzle velocity, a quadratic-drag coefficient and crosswind, an RK4 integrator tracks the shell to its true apogee — where vertical velocity crosses zero, not a scripted height — and bursts it into a drag-damped particle shell whose speed scales with the launch energy, while a live readout and two time-series traces (altitude and speed) turn the arc into numbers you can read off directly instead of just watching lights fall.