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Happy Wheels
v1.95 WebGL
Speedrun Ballistics Solver • 60 FPS Box2D Runge-Kutta

Speedrun Torso Ejection Trajectory Solver

Model the legendary Z-ejection speedrun mechanic. Compute aerodynamic ballistic flight arcs, terminal velocity drag curves, and chasm clearance windows.

Limbless Torso (Aerodynamic Bullet)48 kg Mass

Drag Cross-Section Area: 0.22 m². Severing arms and legs reduces air resistance by 63%, maximizing ballistic glide distance.

Target Gap / Finish Distance45 meters
10m Small Pit45m Speedrun Chasm90m Extreme Canyon
Ejection Release Velocity32 m/s (115.2 km/h)
5 m/s Dismount32 m/s Ramp Launch65 m/s Rocket Boost
Launch Pitch Angle42° Elevation
10° Low Dart42° Optimal Apex80° High Mortar
Launch Platform Elevation+2 meters
0m Ground Level10m Mid Platform25m Tower Cliff
Total Range
92.7 m
Apex: 23.6m
Horizontal flight distance
Clearance Status
CLEARED WITH MARGIN
+47.7m Margin
Target gap: 45m
Flight Time
4.3 sec
Score: +323 pts
Airborne duration
Impact Shock
28.6 m/s
97.2 G Shock
Landing terminal velocity
2D Ballistic Flight Trajectory: Distance (X) vs Elevation (Y)
Target Gap Marker: 45 meters
Ballistic Flight Evaluation

OPTIMAL SPEEDRUN FLING: Clean 92.7m trajectory clearing the chasm by +47.7m at an apex of 23.6m in 4.3s.

Related Happy Wheels Tools & Databases

🏆 Speedrun Glitches & Momentum Meta

Explore input sequences, frame windows, and velocity exploits.

🚀 Vehicle Physics & Boost Accelerator

Simulate top speeds and rocket burn launch speeds.

🩸 Dismemberment Survival Solver

Check limb severance limits and bleedout consciousness windows.

Frequently Asked Questions

Why does a limbless torso fly farther than an intact ragdoll?

A severed torso possesses a drag cross-sectional area of only 0.22 m² (Cd = 0.65) compared to 0.60 m² (Cd = 1.10) for a flailing intact human body. This 63% reduction in air resistance allows the torso to maintain horizontal speed across vast chasms.

What is the optimal launch angle for maximum speedrun distance?

Accounting for quadratic air resistance, launching between 41° and 44° pitch angle yields maximum horizontal distance over flat terrain. For downward gap descents, lower launch angles (30°-35°) minimize airtime to beat stage leaderboards.

Can you steer the rider in mid-air after pressing Z?

Yes! Using Shift and Ctrl allows the player to tuck the knees or arch the spine, subtly shifting the aerodynamic profile and pitch angle during flight to stick narrow landing platforms.