This simulator computes realistic 3-dimensional trajectory arcs for batted baseballs. It evaluates:

• Exit Velocity & Launch Angle: Initial speed vector decomposed into vertical (z) and horizontal planar components (x, y).
• Magnus Force & Backspin Lift: High spin rates generate aerodynamic upward lift ($C_L$), delaying the descent and generating carry.
• Air Resistance & Ballpark Elevation: Drag coefficient ($C_D$) scaled for atmospheric density (e.g. Coors Field thinner air carries ~7-9% farther).
• Wall Geometry: Ballparks feature variable wall distances (302 ft down the lines to 415 ft in deep center) and wall heights (from 8 ft standard pads to Fenway's 37 ft Green Monster).
• Expected Batting Average (xBA): Derived from empirical StatCast launch angle & exit velocity percentiles.

In 2026, Milwaukee Brewers top infield prospect Jesús Made vaulted from MLB's No. 56 prospect to the consensus No. 1 overall prospect in baseball. His breakthrough season in Double-A featured a .271/.344/.430 slash line, 14 HR, 91 RBI, and 37 stolen bases, capped by a historic 5-for-5 performance with 2 home runs and 7 RBIs. This tool allows scouts, analysts, and fans to test how elite exit velos across different spray angles translate to doubles, triples, and wall-clearing homers across professional ballparks.