diff --git a/Assets/Scripts/Car/Car.cs b/Assets/Scripts/Car/Car.cs
index ae26c58..49a7a90 100644
--- a/Assets/Scripts/Car/Car.cs
+++ b/Assets/Scripts/Car/Car.cs
@@ -30,7 +30,7 @@
     }
 
     private void incrementRoad() {
-        roadPositon -= 1f;
+        roadPositon -= currentRoad.path.length;
         roadIndex++;
         if (roadIndex == route.roads.Count) {
             GameObject.Destroy(gameObject);
@@ -49,19 +49,10 @@
             (config.carTorque*deltaTime) / (config.carWheelRadius * config.carMass)
             ;
         float distance = deltaTime * speed;
-        float currentDeltaT = distance / currentRoad.path.length;
-        currentDistance = (position - currentRoad.path.getPosition(roadPositon+currentDeltaT)).magnitude;
-        for (int i = 0; i < 10; i++) {
-            currentDeltaT += (distance - currentDistance) / currentRoad.path.length;
-            while (roadPositon + currentDeltaT > 1f) {
-                incrementRoad();
-            } 
-            currentDistance = (position - currentRoad.path.getPosition(roadPositon+currentDeltaT)).magnitude;
-        }
-        roadPositon += currentDeltaT;
-        while (roadPositon > 1f) {
+        roadPositon += distance;
+        while (roadPositon > currentRoad.path.length) {
             incrementRoad();
         }
-        position = currentRoad.path.getPosition(roadPositon);
+        position = currentRoad.path.getPosition(currentRoad.path.getT(roadPositon));
     }
 }

diff --git a/Assets/Scripts/Car/Car.cs b/Assets/Scripts/Car/Car.cs
index ae26c58..49a7a90 100644
--- a/Assets/Scripts/Car/Car.cs
+++ b/Assets/Scripts/Car/Car.cs
@@ -30,7 +30,7 @@
     }
 
     private void incrementRoad() {
-        roadPositon -= 1f;
+        roadPositon -= currentRoad.path.length;
         roadIndex++;
         if (roadIndex == route.roads.Count) {
             GameObject.Destroy(gameObject);
@@ -49,19 +49,10 @@
             (config.carTorque*deltaTime) / (config.carWheelRadius * config.carMass)
             ;
         float distance = deltaTime * speed;
-        float currentDeltaT = distance / currentRoad.path.length;
-        currentDistance = (position - currentRoad.path.getPosition(roadPositon+currentDeltaT)).magnitude;
-        for (int i = 0; i < 10; i++) {
-            currentDeltaT += (distance - currentDistance) / currentRoad.path.length;
-            while (roadPositon + currentDeltaT > 1f) {
-                incrementRoad();
-            } 
-            currentDistance = (position - currentRoad.path.getPosition(roadPositon+currentDeltaT)).magnitude;
-        }
-        roadPositon += currentDeltaT;
-        while (roadPositon > 1f) {
+        roadPositon += distance;
+        while (roadPositon > currentRoad.path.length) {
             incrementRoad();
         }
-        position = currentRoad.path.getPosition(roadPositon);
+        position = currentRoad.path.getPosition(currentRoad.path.getT(roadPositon));
     }
 }
diff --git a/Assets/Scripts/Primitives/Bezier.cs b/Assets/Scripts/Primitives/Bezier.cs
index b0e9531..521b864 100644
--- a/Assets/Scripts/Primitives/Bezier.cs
+++ b/Assets/Scripts/Primitives/Bezier.cs
@@ -5,6 +5,8 @@
 public class Bezier {
     public Vector3 A, B, C, D;
     public float length;
+    // t(distance) = ???
+    public NewtonPolynom TOfDistance = new NewtonPolynom();
 
     public Bezier(Vector3 A, Vector3 B, Vector3 C, Vector3 D) {
         this.A = A;
@@ -33,15 +35,22 @@
 
     public void updateLength() {
         length = 0f;
-        float steps = 50f;
+        float steps = 5f;
         Vector3 previous = A;
+        TOfDistance = new NewtonPolynom();
+        TOfDistance.add(0f, 0f);
         for (int i = 1; i <= steps; i++) {
             Vector3 current = getPosition(i / steps);
             length += (current - previous).magnitude;
             previous = current;
+            TOfDistance.add(length, i/steps);
         }
     }
 
+    public float getT(float distance) {
+        return TOfDistance.evaluate(distance);
+    }
+
     public Vector3 getDirection(float t) {
         float T = 1.0f - t;
         return

diff --git a/Assets/Scripts/Car/Car.cs b/Assets/Scripts/Car/Car.cs
index ae26c58..49a7a90 100644
--- a/Assets/Scripts/Car/Car.cs
+++ b/Assets/Scripts/Car/Car.cs
@@ -30,7 +30,7 @@
     }
 
     private void incrementRoad() {
-        roadPositon -= 1f;
+        roadPositon -= currentRoad.path.length;
         roadIndex++;
         if (roadIndex == route.roads.Count) {
             GameObject.Destroy(gameObject);
@@ -49,19 +49,10 @@
             (config.carTorque*deltaTime) / (config.carWheelRadius * config.carMass)
             ;
         float distance = deltaTime * speed;
-        float currentDeltaT = distance / currentRoad.path.length;
-        currentDistance = (position - currentRoad.path.getPosition(roadPositon+currentDeltaT)).magnitude;
-        for (int i = 0; i < 10; i++) {
-            currentDeltaT += (distance - currentDistance) / currentRoad.path.length;
-            while (roadPositon + currentDeltaT > 1f) {
-                incrementRoad();
-            } 
-            currentDistance = (position - currentRoad.path.getPosition(roadPositon+currentDeltaT)).magnitude;
-        }
-        roadPositon += currentDeltaT;
-        while (roadPositon > 1f) {
+        roadPositon += distance;
+        while (roadPositon > currentRoad.path.length) {
             incrementRoad();
         }
-        position = currentRoad.path.getPosition(roadPositon);
+        position = currentRoad.path.getPosition(currentRoad.path.getT(roadPositon));
     }
 }
diff --git a/Assets/Scripts/Primitives/Bezier.cs b/Assets/Scripts/Primitives/Bezier.cs
index b0e9531..521b864 100644
--- a/Assets/Scripts/Primitives/Bezier.cs
+++ b/Assets/Scripts/Primitives/Bezier.cs
@@ -5,6 +5,8 @@
 public class Bezier {
     public Vector3 A, B, C, D;
     public float length;
+    // t(distance) = ???
+    public NewtonPolynom TOfDistance = new NewtonPolynom();
 
     public Bezier(Vector3 A, Vector3 B, Vector3 C, Vector3 D) {
         this.A = A;
@@ -33,15 +35,22 @@
 
     public void updateLength() {
         length = 0f;
-        float steps = 50f;
+        float steps = 5f;
         Vector3 previous = A;
+        TOfDistance = new NewtonPolynom();
+        TOfDistance.add(0f, 0f);
         for (int i = 1; i <= steps; i++) {
             Vector3 current = getPosition(i / steps);
             length += (current - previous).magnitude;
             previous = current;
+            TOfDistance.add(length, i/steps);
         }
     }
 
+    public float getT(float distance) {
+        return TOfDistance.evaluate(distance);
+    }
+
     public Vector3 getDirection(float t) {
         float T = 1.0f - t;
         return
diff --git a/Assets/Scripts/Primitives/NewtonPolynom.cs b/Assets/Scripts/Primitives/NewtonPolynom.cs
new file mode 100644
index 0000000..1a0e2be
--- /dev/null
+++ b/Assets/Scripts/Primitives/NewtonPolynom.cs
@@ -0,0 +1,34 @@
+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+
+public class NewtonPolynom {
+    private List<float> coefficients = new List<float>();
+    private List<float> xValues = new List<float>(), yValues = new List<float>();
+
+    public NewtonPolynom() {
+    }
+
+    public void add(float x, float y) {
+        xValues.Add(x);
+        yValues.Add(y);
+        coefficients.Add(getCoefficient(coefficients.Count, 0));
+    }
+
+    private float getCoefficient(int x, int y) {
+        if (x == 0) {
+            return yValues[y];
+        }
+        return (getCoefficient(x-1, y+1) - getCoefficient(x-1, y)) / (xValues[x+y] - xValues[y]);
+    }
+
+    public float evaluate(float x) {
+        float current = 0;
+        for (int i = 0; i < coefficients.Count; i++) {
+            int index = coefficients.Count-1-i;
+            current = coefficients[index] + (x - xValues[index]) * current;
+        }
+        return current;
+    }
+}

diff --git a/Assets/Scripts/Car/Car.cs b/Assets/Scripts/Car/Car.cs
index ae26c58..49a7a90 100644
--- a/Assets/Scripts/Car/Car.cs
+++ b/Assets/Scripts/Car/Car.cs
@@ -30,7 +30,7 @@
     }
 
     private void incrementRoad() {
-        roadPositon -= 1f;
+        roadPositon -= currentRoad.path.length;
         roadIndex++;
         if (roadIndex == route.roads.Count) {
             GameObject.Destroy(gameObject);
@@ -49,19 +49,10 @@
             (config.carTorque*deltaTime) / (config.carWheelRadius * config.carMass)
             ;
         float distance = deltaTime * speed;
-        float currentDeltaT = distance / currentRoad.path.length;
-        currentDistance = (position - currentRoad.path.getPosition(roadPositon+currentDeltaT)).magnitude;
-        for (int i = 0; i < 10; i++) {
-            currentDeltaT += (distance - currentDistance) / currentRoad.path.length;
-            while (roadPositon + currentDeltaT > 1f) {
-                incrementRoad();
-            } 
-            currentDistance = (position - currentRoad.path.getPosition(roadPositon+currentDeltaT)).magnitude;
-        }
-        roadPositon += currentDeltaT;
-        while (roadPositon > 1f) {
+        roadPositon += distance;
+        while (roadPositon > currentRoad.path.length) {
             incrementRoad();
         }
-        position = currentRoad.path.getPosition(roadPositon);
+        position = currentRoad.path.getPosition(currentRoad.path.getT(roadPositon));
     }
 }
diff --git a/Assets/Scripts/Primitives/Bezier.cs b/Assets/Scripts/Primitives/Bezier.cs
index b0e9531..521b864 100644
--- a/Assets/Scripts/Primitives/Bezier.cs
+++ b/Assets/Scripts/Primitives/Bezier.cs
@@ -5,6 +5,8 @@
 public class Bezier {
     public Vector3 A, B, C, D;
     public float length;
+    // t(distance) = ???
+    public NewtonPolynom TOfDistance = new NewtonPolynom();
 
     public Bezier(Vector3 A, Vector3 B, Vector3 C, Vector3 D) {
         this.A = A;
@@ -33,15 +35,22 @@
 
     public void updateLength() {
         length = 0f;
-        float steps = 50f;
+        float steps = 5f;
         Vector3 previous = A;
+        TOfDistance = new NewtonPolynom();
+        TOfDistance.add(0f, 0f);
         for (int i = 1; i <= steps; i++) {
             Vector3 current = getPosition(i / steps);
             length += (current - previous).magnitude;
             previous = current;
+            TOfDistance.add(length, i/steps);
         }
     }
 
+    public float getT(float distance) {
+        return TOfDistance.evaluate(distance);
+    }
+
     public Vector3 getDirection(float t) {
         float T = 1.0f - t;
         return
diff --git a/Assets/Scripts/Primitives/NewtonPolynom.cs b/Assets/Scripts/Primitives/NewtonPolynom.cs
new file mode 100644
index 0000000..1a0e2be
--- /dev/null
+++ b/Assets/Scripts/Primitives/NewtonPolynom.cs
@@ -0,0 +1,34 @@
+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+
+public class NewtonPolynom {
+    private List<float> coefficients = new List<float>();
+    private List<float> xValues = new List<float>(), yValues = new List<float>();
+
+    public NewtonPolynom() {
+    }
+
+    public void add(float x, float y) {
+        xValues.Add(x);
+        yValues.Add(y);
+        coefficients.Add(getCoefficient(coefficients.Count, 0));
+    }
+
+    private float getCoefficient(int x, int y) {
+        if (x == 0) {
+            return yValues[y];
+        }
+        return (getCoefficient(x-1, y+1) - getCoefficient(x-1, y)) / (xValues[x+y] - xValues[y]);
+    }
+
+    public float evaluate(float x) {
+        float current = 0;
+        for (int i = 0; i < coefficients.Count; i++) {
+            int index = coefficients.Count-1-i;
+            current = coefficients[index] + (x - xValues[index]) * current;
+        }
+        return current;
+    }
+}
diff --git a/Assets/Scripts/Primitives/NewtonPolynom.cs.meta b/Assets/Scripts/Primitives/NewtonPolynom.cs.meta
new file mode 100644
index 0000000..7a13d48
--- /dev/null
+++ b/Assets/Scripts/Primitives/NewtonPolynom.cs.meta
@@ -0,0 +1,11 @@
+fileFormatVersion: 2
+guid: 91cc699c03ef4f947a332c54b936f2fc
+MonoImporter:
+  externalObjects: {}
+  serializedVersion: 2
+  defaultReferences: []
+  executionOrder: 0
+  icon: {instanceID: 0}
+  userData: 
+  assetBundleName: 
+  assetBundleVariant: 

diff --git a/Assets/Scripts/Car/Car.cs b/Assets/Scripts/Car/Car.cs
index ae26c58..49a7a90 100644
--- a/Assets/Scripts/Car/Car.cs
+++ b/Assets/Scripts/Car/Car.cs
@@ -30,7 +30,7 @@
     }
 
     private void incrementRoad() {
-        roadPositon -= 1f;
+        roadPositon -= currentRoad.path.length;
         roadIndex++;
         if (roadIndex == route.roads.Count) {
             GameObject.Destroy(gameObject);
@@ -49,19 +49,10 @@
             (config.carTorque*deltaTime) / (config.carWheelRadius * config.carMass)
             ;
         float distance = deltaTime * speed;
-        float currentDeltaT = distance / currentRoad.path.length;
-        currentDistance = (position - currentRoad.path.getPosition(roadPositon+currentDeltaT)).magnitude;
-        for (int i = 0; i < 10; i++) {
-            currentDeltaT += (distance - currentDistance) / currentRoad.path.length;
-            while (roadPositon + currentDeltaT > 1f) {
-                incrementRoad();
-            } 
-            currentDistance = (position - currentRoad.path.getPosition(roadPositon+currentDeltaT)).magnitude;
-        }
-        roadPositon += currentDeltaT;
-        while (roadPositon > 1f) {
+        roadPositon += distance;
+        while (roadPositon > currentRoad.path.length) {
             incrementRoad();
         }
-        position = currentRoad.path.getPosition(roadPositon);
+        position = currentRoad.path.getPosition(currentRoad.path.getT(roadPositon));
     }
 }
diff --git a/Assets/Scripts/Primitives/Bezier.cs b/Assets/Scripts/Primitives/Bezier.cs
index b0e9531..521b864 100644
--- a/Assets/Scripts/Primitives/Bezier.cs
+++ b/Assets/Scripts/Primitives/Bezier.cs
@@ -5,6 +5,8 @@
 public class Bezier {
     public Vector3 A, B, C, D;
     public float length;
+    // t(distance) = ???
+    public NewtonPolynom TOfDistance = new NewtonPolynom();
 
     public Bezier(Vector3 A, Vector3 B, Vector3 C, Vector3 D) {
         this.A = A;
@@ -33,15 +35,22 @@
 
     public void updateLength() {
         length = 0f;
-        float steps = 50f;
+        float steps = 5f;
         Vector3 previous = A;
+        TOfDistance = new NewtonPolynom();
+        TOfDistance.add(0f, 0f);
         for (int i = 1; i <= steps; i++) {
             Vector3 current = getPosition(i / steps);
             length += (current - previous).magnitude;
             previous = current;
+            TOfDistance.add(length, i/steps);
         }
     }
 
+    public float getT(float distance) {
+        return TOfDistance.evaluate(distance);
+    }
+
     public Vector3 getDirection(float t) {
         float T = 1.0f - t;
         return
diff --git a/Assets/Scripts/Primitives/NewtonPolynom.cs b/Assets/Scripts/Primitives/NewtonPolynom.cs
new file mode 100644
index 0000000..1a0e2be
--- /dev/null
+++ b/Assets/Scripts/Primitives/NewtonPolynom.cs
@@ -0,0 +1,34 @@
+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+
+public class NewtonPolynom {
+    private List<float> coefficients = new List<float>();
+    private List<float> xValues = new List<float>(), yValues = new List<float>();
+
+    public NewtonPolynom() {
+    }
+
+    public void add(float x, float y) {
+        xValues.Add(x);
+        yValues.Add(y);
+        coefficients.Add(getCoefficient(coefficients.Count, 0));
+    }
+
+    private float getCoefficient(int x, int y) {
+        if (x == 0) {
+            return yValues[y];
+        }
+        return (getCoefficient(x-1, y+1) - getCoefficient(x-1, y)) / (xValues[x+y] - xValues[y]);
+    }
+
+    public float evaluate(float x) {
+        float current = 0;
+        for (int i = 0; i < coefficients.Count; i++) {
+            int index = coefficients.Count-1-i;
+            current = coefficients[index] + (x - xValues[index]) * current;
+        }
+        return current;
+    }
+}
diff --git a/Assets/Scripts/Primitives/NewtonPolynom.cs.meta b/Assets/Scripts/Primitives/NewtonPolynom.cs.meta
new file mode 100644
index 0000000..7a13d48
--- /dev/null
+++ b/Assets/Scripts/Primitives/NewtonPolynom.cs.meta
@@ -0,0 +1,11 @@
+fileFormatVersion: 2
+guid: 91cc699c03ef4f947a332c54b936f2fc
+MonoImporter:
+  externalObjects: {}
+  serializedVersion: 2
+  defaultReferences: []
+  executionOrder: 0
+  icon: {instanceID: 0}
+  userData: 
+  assetBundleName: 
+  assetBundleVariant: 
diff --git a/Assets/Scripts/Roads/Road.cs b/Assets/Scripts/Roads/Road.cs
index c6d5c5e..08be76d 100644
--- a/Assets/Scripts/Roads/Road.cs
+++ b/Assets/Scripts/Roads/Road.cs
@@ -101,9 +101,6 @@
         arrow1Renderer.update();
         arrow2Renderer.update();
         path.updateLength();
-        foreach (Car car in cars) {
-            car.position = path.getPosition(car.roadPositon);
-        }
     }
 
     override public bool Equals(object other) {