===================================================================
--- original.js
+++ change.js
@@ -15,10 +15,10 @@
 	self.direction = 0;
 	self.update = function () {
 		self.x += Math.cos(self.direction) * self.speed;
 		self.y += Math.sin(self.direction) * self.speed;
-		self.lastX = self.x + Math.cos(self.direction) * self.speed; // Update lastX before position change
-		self.lastY = self.y + Math.sin(self.direction) * self.speed; // Update lastY before position change
+		self.lastX = self.x; // Update lastX before position change
+		self.lastY = self.y; // Update lastY before position change
 		self.speed *= 0.99; // friction
 		if (self.speed < 0.1) {
 			self.speed = 0;
 		}
@@ -64,10 +64,10 @@
 	self.direction = 0;
 	self.update = function () {
 		self.x += Math.cos(self.direction) * self.speed;
 		self.y += Math.sin(self.direction) * self.speed;
-		self.lastX = self.x + Math.cos(self.direction) * self.speed; // Update lastX before position change
-		self.lastY = self.y + Math.sin(self.direction) * self.speed; // Update lastY before position change
+		self.lastX = self.x; // Update lastX before position change
+		self.lastY = self.y; // Update lastY before position change
 		self.speed *= 0.99; // friction
 		if (self.speed < 0.1) {
 			self.speed = 0;
 		}
@@ -89,10 +89,10 @@
 	self.direction = 0;
 	self.update = function () {
 		self.x += Math.cos(self.direction) * self.speed;
 		self.y += Math.sin(self.direction) * self.speed;
-		self.lastX = self.x + Math.cos(self.direction) * self.speed; // Update lastX before position change
-		self.lastY = self.y + Math.sin(self.direction) * self.speed; // Update lastY before position change
+		self.lastX = self.x; // Update lastX before position change
+		self.lastY = self.y; // Update lastY before position change
 		self.speed *= 0.99; // friction
 		if (self.speed < 0.1) {
 			self.speed = 0;
 		}
@@ -114,10 +114,10 @@
 	self.direction = 0;
 	self.update = function () {
 		self.x += Math.cos(self.direction) * self.speed;
 		self.y += Math.sin(self.direction) * self.speed;
-		self.lastX = self.x + Math.cos(self.direction) * self.speed; // Update lastX before position change
-		self.lastY = self.y + Math.sin(self.direction) * self.speed; // Update lastY before position change
+		self.lastX = self.x; // Update lastX before position change
+		self.lastY = self.y; // Update lastY before position change
 		self.speed *= 0.99; // friction
 		if (self.speed < 0.1) {
 			self.speed = 0;
 		}
@@ -139,10 +139,10 @@
 	self.direction = 0;
 	self.update = function () {
 		self.x += Math.cos(self.direction) * self.speed;
 		self.y += Math.sin(self.direction) * self.speed;
-		self.lastX = self.x + Math.cos(self.direction) * self.speed; // Update lastX before position change
-		self.lastY = self.y + Math.sin(self.direction) * self.speed; // Update lastY before position change
+		self.lastX = self.x; // Update lastX before position change
+		self.lastY = self.y; // Update lastY before position change
 		self.speed *= 0.99; // friction
 		if (self.speed < 0.1) {
 			self.speed = 0;
 		}
@@ -164,10 +164,10 @@
 	self.direction = 0;
 	self.update = function () {
 		self.x += Math.cos(self.direction) * self.speed;
 		self.y += Math.sin(self.direction) * self.speed;
-		self.lastX = self.x + Math.cos(self.direction) * self.speed; // Update lastX before position change
-		self.lastY = self.y + Math.sin(self.direction) * self.speed; // Update lastY before position change
+		self.lastX = self.x; // Update lastX before position change
+		self.lastY = self.y; // Update lastY before position change
 		self.speed *= 0.99; // friction
 		if (self.speed < 0.1) {
 			self.speed = 0;
 		}
@@ -189,10 +189,10 @@
 	self.direction = 0;
 	self.update = function () {
 		self.x += Math.cos(self.direction) * self.speed;
 		self.y += Math.sin(self.direction) * self.speed;
-		self.lastX = self.x + Math.cos(self.direction) * self.speed; // Update lastX before position change
-		self.lastY = self.y + Math.sin(self.direction) * self.speed; // Update lastY before position change
+		self.lastX = self.x; // Update lastX before position change
+		self.lastY = self.y; // Update lastY before position change
 		self.speed *= 0.99; // friction
 		if (self.speed < 0.1) {
 			self.speed = 0;
 		}
@@ -214,10 +214,10 @@
 	self.direction = 0;
 	self.update = function () {
 		self.x += Math.cos(self.direction) * self.speed;
 		self.y += Math.sin(self.direction) * self.speed;
-		self.lastX = self.x + Math.cos(self.direction) * self.speed; // Update lastX before position change
-		self.lastY = self.y + Math.sin(self.direction) * self.speed; // Update lastY before position change
+		self.lastX = self.x; // Update lastX before position change
+		self.lastY = self.y; // Update lastY before position change
 		self.speed *= 0.99; // friction
 		if (self.speed < 0.1) {
 			self.speed = 0;
 		}
@@ -239,10 +239,10 @@
 	self.direction = 0;
 	self.update = function () {
 		self.x += Math.cos(self.direction) * self.speed;
 		self.y += Math.sin(self.direction) * self.speed;
-		self.lastX = self.x + Math.cos(self.direction) * self.speed; // Update lastX before position change
-		self.lastY = self.y + Math.sin(self.direction) * self.speed; // Update lastY before position change
+		self.lastX = self.x; // Update lastX before position change
+		self.lastY = self.y; // Update lastY before position change
 		self.speed *= 0.99; // friction
 		if (self.speed < 0.1) {
 			self.speed = 0;
 		}