Tweaked the global window variables. Player can now detect if it's in the air or not.

Data/Colors/GooGradient.tres

+[gd_resource type="GradientTexture" load_steps=2 format=2]
+
+[sub_resource type="Gradient" id=2]
+offsets = PoolRealArray( 0, 0.311111, 0.496296, 0.62963, 1 )
+colors = PoolColorArray( 0.420845, 0.474609, 0, 1, 0.419535, 0.525651, 0, 1, 0.474609, 0.399068, 0.157585, 1, 0.418193, 0.577908, 0, 1, 0.416634, 0.638672, 0, 1 )
+
+[resource]
+gradient = SubResource( 2 )

Data/Objects/Player.tscn

-[gd_scene load_steps=8 format=2]
+[gd_scene load_steps=7 format=2]
 
 [ext_resource path="res://Data/Scripts/Controller.gd" type="Script" id=1]
+[ext_resource path="res://Data/Colors/GooGradient.tres" type="Texture" id=2]
 
 [sub_resource type="CircleShape2D" id=1]
 
-[sub_resource type="Gradient" id=2]
-offsets = PoolRealArray( 0, 0.311111, 0.496296, 0.62963, 1 )
-colors = PoolColorArray( 0.420845, 0.474609, 0, 1, 0.419535, 0.525651, 0, 1, 0.474609, 0.399068, 0.157585, 1, 0.418193, 0.577908, 0, 1, 0.416634, 0.638672, 0, 1 )
-
-[sub_resource type="GradientTexture" id=3]
-gradient = SubResource( 2 )
-
 [sub_resource type="Curve" id=4]
 _data = [ Vector2( 0, 1 ), 0.0, 0.219234, 0, 0, Vector2( 1, 0.559091 ), -0.228985, 0.0, 0, 0 ]
 
 damping_random = 0.41
 scale = 4.0
 scale_curve = SubResource( 5 )
-color_ramp = SubResource( 3 )
+color_ramp = ExtResource( 2 )
 
 [node name="Player" type="RigidBody2D"]
+collision_mask = 3
+contacts_reported = 1
+contact_monitor = true
 script = ExtResource( 1 )
 
 [node name="CollisionShape2D" type="CollisionShape2D" parent="."]
 [node name="Particles" type="Particles2D" parent="."]
 amount = 100
 process_material = SubResource( 6 )
+
+[node name="Joint" type="PinJoint2D" parent="."]
+bias = 0.9
+softness = 0.1
+
+[node name="Camera" type="Camera2D" parent="."]
+current = true
+smoothing_enabled = true
+[connection signal="body_entered" from="." to="." method="_on_Player_body_entered"]
+[connection signal="body_exited" from="." to="." method="_on_Player_body_exited"]

Data/Scenes/World.tscn

 
 [node name="StaticBody2D" type="StaticBody2D" parent="Ground"]
 position = Vector2( 60.061, 218.684 )
+collision_layer = 2
+collision_mask = 5
 
 [node name="CollisionShape2D" type="CollisionShape2D" parent="Ground/StaticBody2D"]
 shape = SubResource( 1 )
 
 [node name="StaticBody2D2" type="StaticBody2D" parent="Ground"]
 position = Vector2( 117.555, 225.357 )
+collision_layer = 2
+collision_mask = 5
 
 [node name="CollisionShape2D" type="CollisionShape2D" parent="Ground/StaticBody2D2"]
 shape = SubResource( 1 )
 
 [node name="StaticBody2D3" type="StaticBody2D" parent="Ground"]
 position = Vector2( 165.809, 209.444 )
+collision_layer = 2
+collision_mask = 5
 
 [node name="CollisionShape2D" type="CollisionShape2D" parent="Ground/StaticBody2D3"]
 shape = SubResource( 1 )
 
 [node name="StaticBody2D4" type="StaticBody2D" parent="Ground"]
 position = Vector2( 352.586, 167.485 )
+collision_layer = 2
+collision_mask = 5
 
 [node name="CollisionShape2D" type="CollisionShape2D" parent="Ground/StaticBody2D4"]
 shape = SubResource( 1 )
 position = Vector2( 258.724, 168.376 )
 rotation = -0.303533
 scale = Vector2( 2.16, 0.400001 )
+collision_layer = 2
+collision_mask = 5
 
 [node name="CollisionShape2D" type="CollisionShape2D" parent="Ground/StaticBody2D5"]
 shape = SubResource( 1 )

Data/Scripts/Controller.gd

 export var max_tangential_accel = 32
 export var max_travel_time = 2.0
 export var push_force = 128
+export var collision_minor_speed_threshold = 16
+export var collision_major_speed_threshold = 56
+export var collision_timedt_threshold = 0.1
+
 
 var body_radius = 0
 var mouse_position = Vector2.ZERO
 var push = false
 var traveling = 0;
 
+var in_air = true
+var air_time = 0
+
 
 # Called when the node enters the scene tree for the first time.
 func _ready():
 
 func _input(event):
 	if event is InputEventMouseMotion:
-		mouse_position = event.position
+		mouse_position = get_global_mouse_position()
 	if Input.is_action_just_pressed("ButtonA"):
 		mouse_down = true
 	elif Input.is_action_just_released("ButtonA"):
 		return # We don't follow the mouse or move the squiq when mouse is down.
 		
 	var distance = clamp(mouse_position.x - position.x, -max_distance, max_distance)
-	var dpercent = abs(distance / max_distance)
+	var dpercent = distance / max_distance
 	if push:
 		push = false
 		traveling = max_travel_time
 		var v_direction = (position - mouse_position).normalized()
-		apply_central_impulse(v_direction * dpercent * push_force)
-	elif traveling > 0:
-		traveling -= delta
+		apply_central_impulse(v_direction * abs(dpercent) * push_force)
+	elif in_air:
+		air_time += delta
 	else:
 		if abs(distance) > body_radius:
+			var v_horizontal = Physics2DServer.area_get_param(get_world_2d().get_space(), Physics2DServer.AREA_PARAM_GRAVITY_VECTOR).rotated(deg2rad(-90))
 			$Particles.process_material.tangential_accel = dpercent * max_tangential_accel;
-			apply_central_impulse(Vector2(distance * delta, 0))
+			apply_central_impulse(v_horizontal * distance * delta)
 		else:
 			$Particles.process_material.tangential_accel = 0
+	
 
 
 func _process(delta):
 		draw_line(v_start, v_end, c_line)
 		draw_line(v_end, v_tipA, c_line)
 		draw_line(v_end, v_tipB, c_line)
+
+
+
+func _on_Player_body_entered(body):
+	in_air = false
+	print(linear_velocity)
+	if air_time > collision_timedt_threshold:
+		var lvlen = linear_velocity.length()
+		if lvlen >= collision_minor_speed_threshold and lvlen < collision_major_speed_threshold:
+			print("ooOF")
+		elif lvlen >= collision_major_speed_threshold:
+			print("Oooooch!")
+	air_time = 0
+
+
+func _on_Player_body_exited(body):
+	in_air = true
+	print("I'm flying!")

project.godot

 run/main_scene="res://Data/Scenes/World.tscn"
 config/icon="res://icon.png"
 
+[display]
+
+window/size/width=800
+window/stretch/mode="viewport"
+window/stretch/aspect="keep"
+
 [input]
 
 ButtonA={