rubber_band_coeff = NumericProperty(0.55)
    '''Rubber band resistance coefficient. Higher values = less resistance.

    Flutter/iOS typically use ~0.55. Lower values (0.3-0.4) feel stiffer,
    higher values (0.6-0.8) feel more elastic.

    :attr:`rubber_band_coeff` is a :class:`~kivy.properties.NumericProperty` and
    defaults to 0.55.
    '''

    spring_mass = NumericProperty(1.0)
    '''Mass for spring simulation (affects bounce-back speed).

    :attr:`spring_mass` is a :class:`~kivy.properties.NumericProperty` and
    defaults to 1.0.
    '''

    spring_stiffness = NumericProperty(100.0)
    '''Stiffness for spring simulation (affects bounce-back speed).

    :attr:`spring_stiffness` is a :class:`~kivy.properties.NumericProperty` and
    defaults to 100.0.
    '''

    min_overscroll = NumericProperty(.5)
    '''An overscroll less than this amount will be normalized to 0.

    :attr:`min_overscroll` is a :class:`~kivy.properties.NumericProperty` and
    defaults to .5.
    '''

       def update_velocity(self, dt):
        # Update velocity with critically damped spring physics.
        # If we're not moving and not overscrolled, stop
        if abs(self.velocity) <= self.min_velocity and abs(
                self.overscroll) < self.min_overscroll:
            self.velocity = 0
            self.overscroll = 0
            return

        # Check if we're in overscroll and should apply spring forces
        if abs(self.overscroll) > self.min_overscroll and not self.is_manual:
            # Use critically damped spring simulation
            self._apply_spring_force(dt)
        else:
            # Normal momentum scrolling with exponential friction
            if abs(self.overscroll) < self.min_overscroll:
                self.overscroll = 0

            # Standard friction
            friction_force = self.velocity * self.friction * dt / self.std_dt
            self.velocity = self.velocity - friction_force

            if not self.is_manual:
                self.apply_distance(self.velocity * dt)

        self.trigger_velocity_update()