User guide
Smooth acceleration and throttle control on an e-scooter: longitudinal weight-transfer physics, jerk-limited ramp, controller soft-start, slippery-surface launch, wheelie risk on a high-CoG deck, and throttle calibration
Acceleration is the longitudinal mirror of braking: the same weight-transfer, but with the sign flipped. Under a hard throttle opening, the motor torque at the rear wheel generates an equal reactive torque on the frame, which pitches the scooter nose-up; the rider's body inertia simultaneously moves rearward. The front wheel unloads — in the limit, it lifts off (wheelie); in the typical case, it loses lateral grip on a corner or a small bump. On an e-scooter, the throttle is not a 'gas pedal' in the traditional sense: between your finger and the stator winding sit a Hall sensor (0.84–4.2 V), a controller with PWM modulation and its own soft-start ramp, the BMS, and finally the motor with MOSFET switches. Each layer adds its own latency (5–50 ms), its own noise floor, and its own limit: an over-driven MOSFET → 150 °C cutoff, a displaced throttle magnet → ghost-throttle in the cold, an overly aggressive ramp in sport mode → a wheelie on a 30 % gradient. Jerk — the second derivative of velocity, m/s³ — has a medical comfort threshold for car passengers of ≈ 0.3–0.9 m/s³ ([ScienceDirect — Standards for passenger comfort in automated vehicles, 2022](https://www.sciencedirect.com/science/article/pii/S0003687022002046)), but on a high-CoG, short-wheelbase e-scooter, even 1.5 m/s³ means a sharp deck pitch and finger-strain on the throttle. CPSC counts 50 000 ED visits in 2022 alone, 94 % of which were solo-falls with no other vehicle involved ([CPSC — E-Scooter and E-Bike Injuries Soar, 2024](https://www.cpsc.gov/Newsroom/News-Releases/2024/E-Scooter-and-E-Bike-Injuries-Soar-2022-Injuries-Increased-Nearly-21)); among typical mechanisms — stuck throttle (Apollo recall 2025) and uncontrolled acceleration on a slippery surface. This is a drill-oriented guide: physics, weight redistribution, jerk-limited ramp, soft-start vs sport mode, slippery launch, wheelie risk, ghost-throttle troubleshooting, a daily launch protocol with a 2–3 mph kick-start, and a 30-min weekly drill in an empty lot. ENG-first sources: MSF Basic RiderCourse, Wikipedia (Jerk physics, Wheelie, Weight transfer, Bicycle-and-motorcycle dynamics), Inside Motorcycles / Data for Motorcycles on the friction circle, Lime / Bird operator manuals, NAVEE on TCS, Apollo, GOTRAX, Levy Electric throttle guides, marsantsx on controller thermals, CPSC injury data.