Grand Slam Trajectory Lab

Simulate the aerodynamics, Magnus lift, ballpark geometry, and win-expectancy swing behind Ronald Acuña Jr.’s bases-loaded blast.

Presets:

Statcast Aerodynamic Simulation

FLIGHT: 0.0 s
APEX: 92 ft
DISTANCE: 443 ft
GRAND SLAM!
Cleared Truist Park LF by 48 ft
Projected Distance
443 ft
True trajectory with drag
Exit Speed & Angle
113.8 / 28°
99th percentile “Barrel”
Max Apex Height
94 ft
Peak ballistic crest
Hang Time
5.34 s
Total flight duration

MLB Run Expectancy (RE24) Swing

Before pitch (Bases loaded, 1 out): 1.54 expected runs.
Post-Grand Slam (4 Runs in + bases empty): 4.26 runs.

+2.72 Net Runs Added

Statcast Barrel Classification

At 113.8 mph and 28°, this batted ball registers an MLB-wide expected batting average (xBA) of .988 and expected slugging percentage (xSLG) of 3.920.

30 / 30 MLB Parks HR

The Physics of a 440+ Foot Grand Slam

When Ronald Acuña Jr. connects with a fastball, the resulting ball flight is determined by fluid dynamics, non-linear air resistance, and the Magnus effect. Here is how our solver calculates the flight path:

1. Quadratic Aerodynamic Drag

A baseball travels through air at Reynolds numbers around 150,000–220,000. Drag force scales with velocity squared: F_drag = 0.5 * ρ * v² * C_d * A. At 114 mph, drag decelerates the ball by over 35 mph before landing.

2. Magnus Force & Spin Lift

Backspin (2,000–3,000 RPM) creates differential air pressure across the top and bottom of the ball. The resulting upward lift force opposes gravity, extending hang time and keeping high-exit velocity liners airborne deep into the seats.

3. Stadium Wall Profiling

Different parks alter home run probability dramatically. A 380-foot drive to left-center might clear Atlanta’s 8-foot wall but bounce off Boston’s 37-foot Green Monster, turning an apparent home run into an RBI double.

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