diff --git a/src/equipment/balls/physics_ball/game_ball.gd b/src/equipment/balls/physics_ball/game_ball.gd
index a6e8887..622d2f8 100644
--- a/src/equipment/balls/physics_ball/game_ball.gd
+++ b/src/equipment/balls/physics_ball/game_ball.gd
@@ -22,9 +22,20 @@ const MAGNUS_SQ_EPSILON := 1e-3
 ## Material physics configuration for this ball.
 @export var terrain_physics: TerrainPhysics
 
-## Coefficient of the linear curve that determines the minimum speed at
-## a given point in surface time below which the ball will be frozen.
-@export var surface_cull_coefficient: float = 0.2
+## Coefficient of the roll damping quadratic curve.
+## This applies progressively greater damping after the ball rolls for a period of time.
+@export var roll_damping_coefficient := 0.4
+
+## Time in seconds after the ball begins rolling after which roll damping will start to apply.
+## This applies progressively greater damping after the ball rolls for a period of time.
+@export var roll_damping_delay := 12.0
+
+## Coefficient of the roll cull linear curve.
+## The ball be frozen if it rolls with speed under this curve.
+@export var roll_cull_coefficient := 0.2
+
+## Time in seconds after the ball begins rolling after which roll culling will start to apply.
+@export var roll_cull_delay := 16.0
 
 #@export var fluid_density := 1.225
 #@export var lift_coefficient := 0.05
@@ -137,10 +148,6 @@ func _integrate_forces(state: PhysicsDirectBodyState3D) -> void:
 				primary_body = state.get_contact_collider_object(i)
 
 		_surface_terrain = Terrain.from_collision(global_position, primary_body)
-
-		var culling_speed_sq := pow(surface_cull_coefficient * _surface_time_s, 2) - 1
-		if linear_velocity.length_squared() < culling_speed_sq:
-			_manual_sleep()
 	else:
 		# Ball is in the air
 		_surface_terrain = Terrain.Type.NONE
@@ -150,6 +157,13 @@ func _integrate_forces(state: PhysicsDirectBodyState3D) -> void:
 	angular_damp = params.angular_damp
 	linear_damp = params.linear_damp
 
+	# Progressively increase linear damping after a delay.
+	linear_damp += roll_damping_coefficient * pow(maxf(_surface_time_s - roll_damping_delay, 0), 2)
+
+	var cull_speed := roll_cull_coefficient * maxf(_surface_time_s - roll_cull_delay, 0)
+	if linear_velocity.length_squared() < pow(cull_speed, 2):
+		_manual_sleep()
+
 
 func _physics_process(delta: float) -> void:
 	# Simulate magnus effect