Flux rope evolution for the six shearing cases. Top panel: Height y of the flux rope centers in units of solar radius. Middle panel: Vertical velocity v_y in km/s. The time axis is defined as Δ t = t − t_fr, where Δ t represents the time elapsed since the flux rope formation. The vertical black line marks the time at which footpoint driving motion is disabled (t = t₁ or Δ t = t₁ − t_fr). Bottom panel: Height evolution of an observed erupting prominence, using data from Di Lorenzo et al. (2025). The final data point of all curves corresponds to the moment when the flux rope center crosses the altitude y = 200 Mm.