===================================================================
--- original.js
+++ change.js
@@ -40,8 +40,22 @@
 			self.destroy();
 		}, 500);
 	};
 });
+// FormulaDisplay class
+var FormulaDisplay = Container.expand(function () {
+	var self = Container.call(this);
+	var formulaGraphics = self.createAsset('formula', 'Formula display', 0.5, 0);
+	self.visible = false;
+	self.show = function () {
+		self.visible = true;
+		self.y = 0; // Top of the screen
+		self.x = 2048 / 2; // Centered horizontally
+		LK.setTimeout(function () {
+			self.visible = false;
+		}, 2000); // Visible for 2 seconds
+	};
+});
 // Player class
 var Player = Container.expand(function () {
 	var self = Container.call(this);
 	var playerGraphics = self.createAsset('player', 'Player character', 0.5, 1);
@@ -75,12 +89,12 @@
 			self.x += self.speed;
 		}
 	};
 });
-// RedApple class
-var RedApple = Container.expand(function () {
+// Apple class
+var Apple = Container.expand(function () {
 	var self = Container.call(this);
-	var appleGraphics = self.createAsset('apple', 'Falling red apple', 0.5, 0.5);
+	var appleGraphics = self.createAsset('apple', 'Falling apple', 0.5, 0.5);
 	self.speed = 6;
 	self.move = function () {
 		self.y += self.speed;
 	};
@@ -92,21 +106,8 @@
 			explosion.x = self.x;
 			explosion.y = self.y;
 			game.addChild(explosion);
 			explosion.animate();
-			if (!LK.firstRedAppleCaught) {
-				LK.firstRedAppleCaught = true;
-				var formulaText = new Text2('F = ma', {
-					size: 150,
-					fill: "#ffffff"
-				});
-				formulaText.x = self.x;
-				formulaText.y = self.y - 100;
-				LK.gui.center.addChild(formulaText);
-				LK.setTimeout(function () {
-					formulaText.destroy();
-				}, 2000);
-			}
 			return true;
 		}
 		return false;
 	};
@@ -143,11 +144,8 @@
 
 /**** 
 * Game Code
 ****/
-// Flag to check if the first red apple has been caught
-LK.firstRedAppleCaught = false;
-
 // Initialize second background
 var background2 = game.addChild(LK.getAsset('background2', 'Second background', 0, 0));
 background2.width = 2048;
 background2.height = 2732;
@@ -170,8 +168,11 @@
 // Initialize player2
 var player2 = game.addChild(new Player2());
 player2.x = 2048 / 2;
 player2.y = 2732 - 50; // Positioned at the bottom of the screen, same as player
+// Initialize formula display
+var formulaDisplay = game.addChild(new FormulaDisplay());
+
 // Initialize health meters
 var healthMeters = [];
 for (var i = 0; i < 3; i++) {
 	var healthMeter = game.addChild(new HealthMeter());
@@ -213,11 +214,15 @@
 	// Move apples
 	for (var i = apples.length - 1; i >= 0; i--) {
 		apples[i].move();
 		// Check if apple is caught by the player or player2 depending on their visibility
-		if (player.visible && apples[i] instanceof RedApple && apples[i].isCaught(player) || player2.visible && apples[i] instanceof RedApple && apples[i].isCaught(player2)) {
+		if (player.visible && apples[i] instanceof Apple && apples[i].isCaught(player) || player2.visible && apples[i] instanceof Apple && apples[i].isCaught(player2)) {
 			// Increase score
 			LK.setScore(LK.getScore() + 1);
+			// Show the formula display on the first red apple caught
+			if (LK.getScore() === 1) {
+				formulaDisplay.show();
+			}
 			// Remove caught apple
 			apples[i].destroy();
 			apples.splice(i, 1);
 		} else if (player.visible && apples[i] instanceof GreenApple && apples[i].isCaught(player) || player2.visible && apples[i] instanceof GreenApple && apples[i].isCaught(player2)) {
@@ -249,9 +254,9 @@
 
 	// Spawn apples less frequently
 	if (LK.ticks % 120 == 0) {
 		// Every two seconds
-		var appleType = Math.random() < 0.25 ? new RedApple() : new GreenApple(); // 25% chance for red apple, 75% for green apple
+		var appleType = Math.random() < 0.25 ? new Apple() : new GreenApple(); // 25% chance for red apple, 75% for green apple
 		var newApple = appleType;
 		newApple.x = Math.random() * 2048;
 		newApple.y = 2732 / 2; // Start at the middle of the screen in height
 		apples.push(newApple);