Same drag-perturbed projectile model as the 3D archery range, viewed from the side: draw weight sets muzzle speed, launch angle sets the initial climb, and a lateral crosswind drifts the arrow off-line while gravity pulls it down range. The bottom strip shows the impact scored against a 10-ring target.
Speed: v0 = 20 + 0.6 * drawWeight (m/s, heavier bows shoot faster)
Vertical: y(t) = y0 + v0*sin(θ)*t - ½g*t² (g = 9.8 m/s²)
Downrange:x(t) = v0*cos(θ)*t
Drift: dz/dt += wind * 0.25 * dt (crosswind accelerates lateral drift)
Score: 10/9/7/5/3/1/0 by radial miss distance from target center
- Draw weight — higher poundage means a faster, flatter arrow that reaches the target sooner and drifts less in the wind.
- Launch angle — too flat and gravity drops the arrow short; too steep and it arcs over the target. A few degrees of elevation compensates for drop at typical ranges.
- Crosswind — a steady lateral wind keeps accelerating the arrow sideways for its entire flight, so slower (longer) shots drift further than fast, flat ones.
Real-world relevance: this is the same drag/elevation/wind trade-off archers and ballistics analysts tune for — draw weight and launch angle for range, and windage correction for lateral drift.