diff --git a/.dart_tool/package_config.json b/.dart_tool/package_config.json
index d3d3821..cb842b1 100644
--- a/.dart_tool/package_config.json
+++ b/.dart_tool/package_config.json
@@ -3,163 +3,163 @@
   "packages": [
     {
       "name": "async",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/async-2.13.0",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/async-2.13.0",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "boolean_selector",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/boolean_selector-2.1.2",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/boolean_selector-2.1.2",
       "packageUri": "lib/",
       "languageVersion": "3.1"
     },
     {
       "name": "characters",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/characters-1.4.0",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/characters-1.4.0",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "clock",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/clock-1.1.2",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/clock-1.1.2",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "collection",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/collection-1.19.1",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/collection-1.19.1",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "cupertino_icons",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/cupertino_icons-1.0.8",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/cupertino_icons-1.0.8",
       "packageUri": "lib/",
       "languageVersion": "3.1"
     },
     {
       "name": "fake_async",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/fake_async-1.3.3",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/fake_async-1.3.3",
       "packageUri": "lib/",
       "languageVersion": "3.3"
     },
     {
       "name": "flutter",
-      "rootUri": "file:///C:/Users/UTKARSH/Desktop/flutter/packages/flutter",
+      "rootUri": "file:///C:/flutter/src/flutter/packages/flutter",
       "packageUri": "lib/",
       "languageVersion": "3.8"
     },
     {
       "name": "flutter_lints",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/flutter_lints-5.0.0",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/flutter_lints-5.0.0",
       "packageUri": "lib/",
       "languageVersion": "3.5"
     },
     {
       "name": "flutter_test",
-      "rootUri": "file:///C:/Users/UTKARSH/Desktop/flutter/packages/flutter_test",
+      "rootUri": "file:///C:/flutter/src/flutter/packages/flutter_test",
       "packageUri": "lib/",
       "languageVersion": "3.8"
     },
     {
       "name": "leak_tracker",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/leak_tracker-11.0.2",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/leak_tracker-11.0.2",
       "packageUri": "lib/",
       "languageVersion": "3.2"
     },
     {
       "name": "leak_tracker_flutter_testing",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/leak_tracker_flutter_testing-3.0.10",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/leak_tracker_flutter_testing-3.0.10",
       "packageUri": "lib/",
       "languageVersion": "3.2"
     },
     {
       "name": "leak_tracker_testing",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/leak_tracker_testing-3.0.2",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/leak_tracker_testing-3.0.2",
       "packageUri": "lib/",
       "languageVersion": "3.2"
     },
     {
       "name": "lints",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/lints-5.1.1",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/lints-5.1.1",
       "packageUri": "lib/",
       "languageVersion": "3.6"
     },
     {
       "name": "matcher",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/matcher-0.12.17",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/matcher-0.12.17",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "material_color_utilities",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/material_color_utilities-0.11.1",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/material_color_utilities-0.11.1",
       "packageUri": "lib/",
       "languageVersion": "2.17"
     },
     {
       "name": "meta",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/meta-1.16.0",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/meta-1.16.0",
       "packageUri": "lib/",
       "languageVersion": "2.12"
     },
     {
       "name": "path",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/path-1.9.1",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/path-1.9.1",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "sky_engine",
-      "rootUri": "file:///C:/Users/UTKARSH/Desktop/flutter/bin/cache/pkg/sky_engine",
+      "rootUri": "file:///C:/flutter/src/flutter/bin/cache/pkg/sky_engine",
       "packageUri": "lib/",
       "languageVersion": "3.8"
     },
     {
       "name": "source_span",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/source_span-1.10.1",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/source_span-1.10.1",
       "packageUri": "lib/",
       "languageVersion": "3.1"
     },
     {
       "name": "stack_trace",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/stack_trace-1.12.1",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/stack_trace-1.12.1",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "stream_channel",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/stream_channel-2.1.4",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/stream_channel-2.1.4",
       "packageUri": "lib/",
       "languageVersion": "3.3"
     },
     {
       "name": "string_scanner",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/string_scanner-1.4.1",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/string_scanner-1.4.1",
       "packageUri": "lib/",
       "languageVersion": "3.1"
     },
     {
       "name": "term_glyph",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/term_glyph-1.2.2",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/term_glyph-1.2.2",
       "packageUri": "lib/",
       "languageVersion": "3.1"
     },
     {
       "name": "test_api",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/test_api-0.7.6",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/test_api-0.7.6",
       "packageUri": "lib/",
       "languageVersion": "3.5"
     },
     {
       "name": "vector_math",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/vector_math-2.2.0",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/vector_math-2.2.0",
       "packageUri": "lib/",
       "languageVersion": "3.1"
     },
     {
       "name": "vm_service",
-      "rootUri": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache/hosted/pub.dev/vm_service-15.0.0",
+      "rootUri": "file:///C:/Users/Asus/AppData/Local/Pub/Cache/hosted/pub.dev/vm_service-15.0.0",
       "packageUri": "lib/",
       "languageVersion": "3.3"
     },
@@ -172,7 +172,7 @@
   ],
   "generator": "pub",
   "generatorVersion": "3.9.2",
-  "flutterRoot": "file:///C:/Users/UTKARSH/Desktop/flutter",
-  "flutterVersion": "3.35.3",
-  "pubCache": "file:///C:/Users/UTKARSH/AppData/Local/Pub/Cache"
+  "flutterRoot": "file:///C:/flutter/src/flutter",
+  "flutterVersion": "3.35.6",
+  "pubCache": "file:///C:/Users/Asus/AppData/Local/Pub/Cache"
 }
diff --git a/.dart_tool/version b/.dart_tool/version
index 398f1f6..eb4861a 100644
--- a/.dart_tool/version
+++ b/.dart_tool/version
@@ -1 +1 @@
-3.35.3
\ No newline at end of file
+3.35.6
\ No newline at end of file
diff --git a/.gitignore b/.gitignore
index 39d752c..9ed90a6 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,4 +1,53 @@
-node_modules
+# Flutter/Dart/Pub related
 .dart_tool/
 .packages
+.pub/
 build/
+.flutter-plugins
+.flutter-plugins-dependencies
+
+# IDE directories
+.idea/
+.vscode/
+*.iml
+
+# Flutter specific
+.flutter-plugins-dependencies
+.flutter-plugins
+.melos_tool/
+
+# Android
+android/.gradle/
+android/local.properties
+android/**/GeneratedPluginRegistrant.java
+android/app/key.properties
+
+# iOS
+ios/Pods/
+ios/Flutter/Flutter.framework
+ios/Flutter/Flutter.podspec
+ios/Runner/GeneratedPluginRegistrant.*
+
+# Web
+web/.dart_tool/
+
+# Linux
+linux/flutter/ephemeral/
+
+# macOS
+macos/Flutter/ephemeral/
+
+# Windows
+windows/flutter/ephemeral/
+
+# Files for app signing
+*.jks
+*.keystore
+
+# Symbolication data
+*.symbols
+
+# Misc
+.DS_Store
+*.log
+*.tmp
diff --git a/lib/homepage.dart b/lib/homepage.dart
index 25e42bd..3874c40 100644
--- a/lib/homepage.dart
+++ b/lib/homepage.dart
@@ -1,8 +1,8 @@
 import 'dart:async';
 import 'package:flappy_bird/barriers.dart';
+
 import 'package:flappy_bird/bird.dart';
 import 'package:flutter/material.dart';
-
 class Homepage extends StatefulWidget {
   const Homepage({super.key});
 
@@ -16,10 +16,15 @@ class _HomepageState extends State<Homepage> {
   double height = 0, time = 0;
   bool isGameStarted = false;
   static double barrierx1 = 1;
-  double barrierx2 = barrierx1 + 1.5;
+  double barrierx2 = barrierx1 + 2.5; // Increased offset for delayed entry
+
   Timer? gameTimer;
-  int score = 0;
+  double gravity = 4.5; // Gravity constant (positive, pulls down)
+  // <-- CORRECTION 1: Velocity must be negative for an upward jump
+  double velocity = -2.5; // Jump velocity (negative, pushes up)
+  double barrierSpeed = 0.05; // Speed of barriers moving
 
+  // ignore: unused_element
   void _showDialog() {
     showDialog(
       context: context,
@@ -27,18 +32,15 @@ class _HomepageState extends State<Homepage> {
       builder: (context) {
         return AlertDialog(
           backgroundColor: Colors.brown,
-          title: const Text('Game Over', style: TextStyle(color: Colors.white)),
+          title: Text('Game Over', style: TextStyle(color: Colors.white)),
           content: Text(
-            'Your bird has fallen!\nScore: $score',//display the score when game is over
-            style: const TextStyle(color: Colors.white),
+            'Your bird has fallen!',
+            style: TextStyle(color: Colors.white),
           ),
           actions: [
             TextButton(
               onPressed: resetGame,
-              child: const Text(
-                'Restart',
-                style: TextStyle(color: Colors.white),
-              ),
+              child: Text('Restart', style: TextStyle(color: Colors.white)),
             ),
           ],
         );
@@ -47,91 +49,89 @@ class _HomepageState extends State<Homepage> {
   }
 
   void startGame() {
-    setState(() {
-      isGameStarted = true;
-    });
+    isGameStarted = true;
 
-    gameTimer = Timer.periodic(const Duration(milliseconds: 50), (timer) {
-      setState(() {
-        time += 0.05;
-        height = -4.2 * time * time + 2.6 * time;
-        birdY = initialPos - height;
+    gameTimer = Timer.periodic(Duration(milliseconds: 50), (timer) {
+      // Update time
+      time += 0.05;
 
-        // Move barriers
-        barrierx1 -= 0.03;
-        barrierx2 -= 0.03;
+      // <-- CORRECTION 2: Use standard kinematic equation s = v_0*t + 0.5*a*t^2
+      // Calculate vertical displacement (height)
+      height = (0.5 * gravity * time * time) + (velocity * time);
 
-        // Reposition barriers and score incremented by 1 for each barrier passed
+      setState(() {
+        // <-- CORRECTION 3: Update birdY by ADDING displacement
+        // A negative displacement (jump) makes birdY smaller (moves up)
+        // A positive displacement (gravity) makes birdY larger (moves down)
+        birdY = initialPos + height;
+      });
+
+      // Move barriers
+      setState(() {
         if (barrierx1 < -1.5) {
           barrierx1 = 1.5;
-          score++;
+        } else {
+          barrierx1 -= barrierSpeed;
         }
+
         if (barrierx2 < -1.5) {
           barrierx2 = 1.5;
-          score++;
-        }
-        // Score incremented by 1 for each barrier passed
-
-        // Check if bird is dead
-        if (birdisDead()) {
-          gameTimer?.cancel();
-          _showDialog();
+        } else {
+          barrierx2 -= barrierSpeed;
         }
       });
+
+      // Check if bird is dead
+      if (birdisDead()) {
+        timer.cancel();
+        _showDialog();
+      }
     });
   }
 
   void resetGame() {
+    Navigator.pop(context); // Close the dialog
     setState(() {
-      birdY = 0.0;
+      birdY = 0;
       initialPos = birdY;
       time = 0;
       height = 0;
       isGameStarted = false;
-      barrierx1 = 1;
-      barrierx2 = barrierx1 + 1.5;
-      score = 0;
-    }); // reset the game variables to their initial values
-
-    gameTimer?.cancel();
-    Navigator.of(context).pop();
+      barrierx1 = 3;
+      barrierx2 = barrierx1 + 2.5; // Keep the same offset on reset
+    });
   }
 
   void jump() {
     setState(() {
-      time = 0;
-      initialPos = birdY;
-      birdY -= 0.05; 
+      time = 0; // Reset time for the physics equation
+      initialPos =
+          birdY; // Set the start of the jump to the bird's current position
     });
   }
 
-
   bool birdisDead() {
-    // Check if bird hits top or bottom of screen
+    // Check if bird is out of bounds (top or bottom)
     if (birdY > 1 || birdY < -1) {
       return true;
     }
 
-    // Check collision with first barrier
-    if (barrierx1 >= -0.15 && barrierx1 <= 0.15) {
-      // Bottom barrier (size 50) - small barrier
-      if (birdY > 0.6) {
-        return true;
-      }
-      // Top barrier (size 200) - large barrier
-      if (birdY < -0.2) {
+    // <-- CORRECTION 4: Swapped collision logic to match build() method.
+
+    // Check collision with first set of barriers (Top: 200, Bottom: 50)
+    // This has *more* barrier, so it should have the *smaller* gap.
+    if ((barrierx1 >= -0.1 && barrierx1 <= 0.1)) {
+      if (birdY <= -0.4 || birdY >= 0.4) {
+        // Small gap
         return true;
       }
     }
 
-    // Check collision with second barrier
-    if (barrierx2 >= -0.15 && barrierx2 <= 0.15) {
-      // Bottom barrier (size 150) - large barrier
-      if (birdY > 0.0) {
-        return true;
-      }
-      // Top barrier (size 50) - small barrier
-      if (birdY < -0.6) {
+    // Check collision with second set of barriers (Top: 50, Bottom: 150)
+    // This has *less* barrier, so it should have the *larger* gap.
+    if ((barrierx2 >= -0.1 && barrierx2 <= 0.1)) {
+      if (birdY <= -0.6 || birdY >= 0.6) {
+        // Large gap
         return true;
       }
     }
@@ -139,6 +139,12 @@ class _HomepageState extends State<Homepage> {
     return false;
   }
 
+  @override
+  void dispose() {
+    gameTimer?.cancel();
+    super.dispose();
+  }
+
   @override
   Widget build(BuildContext context) {
     return GestureDetector(
@@ -155,44 +161,35 @@ class _HomepageState extends State<Homepage> {
                     children: [
                       MyBird(birdY: birdY),
                       Container(
-                        alignment: const Alignment(0, -0.5),
+                        alignment: Alignment(0, -0.5),
                         child: Text(
                           isGameStarted ? '' : 'T A P  T O  P L A Y',
-                          style: const TextStyle(color: Colors.white),
+                          style: TextStyle(color: Colors.white),
                         ),
                       ),
-                      //score board implemented 
-                      if (isGameStarted)
-                        Container(
-                          alignment: const Alignment(-0.8, -0.8),
-                          child: Text(
-                            'Score: $score',
-                            style: const TextStyle(
-                              color: Colors.white,
-                              fontSize: 20,
-                              fontWeight: FontWeight.bold,
-                            ),
-                          ),
-                        ),
-                      AnimatedContainer(
-                        duration: const Duration(milliseconds: 0),
-                        alignment: Alignment(barrierx1, 1),
-                        child: const MyBarrier(size: 50.0),
-                      ),
+
+                      // Barrier 1 (Top: 200, Bottom: 50) -> Small Gap
                       AnimatedContainer(
-                        duration: const Duration(milliseconds: 0),
+                        duration: Duration(milliseconds: 0),
                         alignment: Alignment(barrierx1, -1),
-                        child: const MyBarrier(size: 200.0),
+                        child: MyBarrier(size: 200.0), // Large top
                       ),
                       AnimatedContainer(
-                        duration: const Duration(milliseconds: 0),
-                        alignment: Alignment(barrierx2, 1),
-                        child: const MyBarrier(size: 150.0),
+                        duration: Duration(milliseconds: 0),
+                        alignment: Alignment(barrierx1, 1),
+                        child: MyBarrier(size: 50.0), // Small bottom
                       ),
+
+                      // Barrier 2 (Top: 50, Bottom: 150) -> Large Gap
                       AnimatedContainer(
-                        duration: const Duration(milliseconds: 0),
+                        duration: Duration(milliseconds: 0),
                         alignment: Alignment(barrierx2, -1),
-                        child: const MyBarrier(size: 50.0),
+                        child: MyBarrier(size: 50.0), // Small top
+                      ),
+                      AnimatedContainer(
+                        duration: Duration(milliseconds: 0),
+                        alignment: Alignment(barrierx2, 1),
+                        child: MyBarrier(size: 150.0), // Large bottom
                       ),
                     ],
                   ),