diff --git a/Assets/Scripts/Car/Car.cs b/Assets/Scripts/Car/Car.cs
index 49a7a90..135a152 100644
--- a/Assets/Scripts/Car/Car.cs
+++ b/Assets/Scripts/Car/Car.cs
@@ -4,8 +4,8 @@
 
 public class Car {
     private Route route;
-    private Road currentRoad;
-    public float roadPositon = 0f, speed = 0f, currentDistance;
+    public Road currentRoad;
+    public float roadPositon = 0f, speed = 0f;
     private int roadIndex = 0;
     private GameObject gameObject;
     private Config config;
@@ -48,6 +48,9 @@
             (2*config.carMass) + 
             (config.carTorque*deltaTime) / (config.carWheelRadius * config.carMass)
             ;
+        float t = currentRoad.path.getT(roadPositon);
+        float maxSpeed = Mathf.Sqrt((float) (-Mathf.Abs(currentRoad.path.getRadius(t)) / 0.2 * Physics.gravity.y));
+        speed = Mathf.Min(speed, maxSpeed);
         float distance = deltaTime * speed;
         roadPositon += distance;
         while (roadPositon > currentRoad.path.length) {

diff --git a/Assets/Scripts/Car/Car.cs b/Assets/Scripts/Car/Car.cs
index 49a7a90..135a152 100644
--- a/Assets/Scripts/Car/Car.cs
+++ b/Assets/Scripts/Car/Car.cs
@@ -4,8 +4,8 @@
 
 public class Car {
     private Route route;
-    private Road currentRoad;
-    public float roadPositon = 0f, speed = 0f, currentDistance;
+    public Road currentRoad;
+    public float roadPositon = 0f, speed = 0f;
     private int roadIndex = 0;
     private GameObject gameObject;
     private Config config;
@@ -48,6 +48,9 @@
             (2*config.carMass) + 
             (config.carTorque*deltaTime) / (config.carWheelRadius * config.carMass)
             ;
+        float t = currentRoad.path.getT(roadPositon);
+        float maxSpeed = Mathf.Sqrt((float) (-Mathf.Abs(currentRoad.path.getRadius(t)) / 0.2 * Physics.gravity.y));
+        speed = Mathf.Min(speed, maxSpeed);
         float distance = deltaTime * speed;
         roadPositon += distance;
         while (roadPositon > currentRoad.path.length) {
diff --git a/Assets/Scripts/Primitives/Bezier.cs b/Assets/Scripts/Primitives/Bezier.cs
index 521b864..3f03e46 100644
--- a/Assets/Scripts/Primitives/Bezier.cs
+++ b/Assets/Scripts/Primitives/Bezier.cs
@@ -1,12 +1,13 @@
 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;
+using System;
 
 public class Bezier {
     public Vector3 A, B, C, D;
     public float length;
-    // t(distance) = ???
-    public NewtonPolynom TOfDistance = new NewtonPolynom();
+    private static float perscision = 16f;
+    public float[] lengths = new float[(int) perscision + 1];
 
     public Bezier(Vector3 A, Vector3 B, Vector3 C, Vector3 D) {
         this.A = A;
@@ -23,6 +24,30 @@
         this.D = Vector3.zero;
         updateLength();
     }
+
+    public void updateLength() {
+        length = 0f;
+        Vector3 previous = A;
+        lengths[0] = 0f;
+        for (int i = 1; i <= perscision; i++) {
+            Vector3 current = getPosition(i / perscision);
+            length += (current - previous).magnitude;
+            previous = current;
+            lengths[i] = length;
+        }
+    }
+
+    public float getT(float distance) {
+        int index = 0;
+        while (!(lengths[index] <= distance && lengths[index+1] > distance)) {
+            index++;
+        }
+        float lengthBefore = lengths[index];
+        float lengthAfter =  lengths[index+1];
+        float segmentLength = lengthAfter - lengthBefore;
+        float segmentFraction = (distance - lengthBefore) / segmentLength;
+        return (index + segmentFraction) / perscision;
+    }
     
     public Vector3 getPosition(float t) {
         float T = 1.0f - t;
@@ -33,24 +58,6 @@
             D * (  t*t*t);
     }
 
-    public void updateLength() {
-        length = 0f;
-        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
@@ -59,4 +66,20 @@
             C * (-3*t*t + 6*T*t) +
             D * ( 3*t*t        );
     }
+
+    public Vector3 getAcceleration(float t) {
+        return
+            A * (-6 *t + 6 ) +
+            B * ( 6*t) +
+            C * ( 18*t - 12 ) +
+            D * (-18 *t + 6);
+    }
+
+    public float getRadius(float t) {
+        Vector3 direction = getDirection(t);
+        Vector3 acceleration = getAcceleration(t);
+        return
+            Mathf.Pow(direction.x * direction.x + direction.z * direction.z, 1.5f) / 
+            Mathf.Abs(direction.x * acceleration.z - direction.z * acceleration.x);
+    }
 }

diff --git a/Assets/Scripts/Car/Car.cs b/Assets/Scripts/Car/Car.cs
index 49a7a90..135a152 100644
--- a/Assets/Scripts/Car/Car.cs
+++ b/Assets/Scripts/Car/Car.cs
@@ -4,8 +4,8 @@
 
 public class Car {
     private Route route;
-    private Road currentRoad;
-    public float roadPositon = 0f, speed = 0f, currentDistance;
+    public Road currentRoad;
+    public float roadPositon = 0f, speed = 0f;
     private int roadIndex = 0;
     private GameObject gameObject;
     private Config config;
@@ -48,6 +48,9 @@
             (2*config.carMass) + 
             (config.carTorque*deltaTime) / (config.carWheelRadius * config.carMass)
             ;
+        float t = currentRoad.path.getT(roadPositon);
+        float maxSpeed = Mathf.Sqrt((float) (-Mathf.Abs(currentRoad.path.getRadius(t)) / 0.2 * Physics.gravity.y));
+        speed = Mathf.Min(speed, maxSpeed);
         float distance = deltaTime * speed;
         roadPositon += distance;
         while (roadPositon > currentRoad.path.length) {
diff --git a/Assets/Scripts/Primitives/Bezier.cs b/Assets/Scripts/Primitives/Bezier.cs
index 521b864..3f03e46 100644
--- a/Assets/Scripts/Primitives/Bezier.cs
+++ b/Assets/Scripts/Primitives/Bezier.cs
@@ -1,12 +1,13 @@
 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;
+using System;
 
 public class Bezier {
     public Vector3 A, B, C, D;
     public float length;
-    // t(distance) = ???
-    public NewtonPolynom TOfDistance = new NewtonPolynom();
+    private static float perscision = 16f;
+    public float[] lengths = new float[(int) perscision + 1];
 
     public Bezier(Vector3 A, Vector3 B, Vector3 C, Vector3 D) {
         this.A = A;
@@ -23,6 +24,30 @@
         this.D = Vector3.zero;
         updateLength();
     }
+
+    public void updateLength() {
+        length = 0f;
+        Vector3 previous = A;
+        lengths[0] = 0f;
+        for (int i = 1; i <= perscision; i++) {
+            Vector3 current = getPosition(i / perscision);
+            length += (current - previous).magnitude;
+            previous = current;
+            lengths[i] = length;
+        }
+    }
+
+    public float getT(float distance) {
+        int index = 0;
+        while (!(lengths[index] <= distance && lengths[index+1] > distance)) {
+            index++;
+        }
+        float lengthBefore = lengths[index];
+        float lengthAfter =  lengths[index+1];
+        float segmentLength = lengthAfter - lengthBefore;
+        float segmentFraction = (distance - lengthBefore) / segmentLength;
+        return (index + segmentFraction) / perscision;
+    }
     
     public Vector3 getPosition(float t) {
         float T = 1.0f - t;
@@ -33,24 +58,6 @@
             D * (  t*t*t);
     }
 
-    public void updateLength() {
-        length = 0f;
-        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
@@ -59,4 +66,20 @@
             C * (-3*t*t + 6*T*t) +
             D * ( 3*t*t        );
     }
+
+    public Vector3 getAcceleration(float t) {
+        return
+            A * (-6 *t + 6 ) +
+            B * ( 6*t) +
+            C * ( 18*t - 12 ) +
+            D * (-18 *t + 6);
+    }
+
+    public float getRadius(float t) {
+        Vector3 direction = getDirection(t);
+        Vector3 acceleration = getAcceleration(t);
+        return
+            Mathf.Pow(direction.x * direction.x + direction.z * direction.z, 1.5f) / 
+            Mathf.Abs(direction.x * acceleration.z - direction.z * acceleration.x);
+    }
 }
diff --git a/Assets/Scripts/Roads/Road.cs b/Assets/Scripts/Roads/Road.cs
index d36ccca..032bed8 100644
--- a/Assets/Scripts/Roads/Road.cs
+++ b/Assets/Scripts/Roads/Road.cs
@@ -21,8 +21,8 @@
 
     public void initialize(Transform parent) {
         path = new Bezier();
-        pathLine = new FlatBezierRenderer(path, 50, 0.05f);
-        roadBody = new FlatBezierRenderer(path, 50, 2f);
+        pathLine = new FlatBezierRenderer(path, 32, 0.05f);
+        roadBody = new FlatBezierRenderer(path, 32, 2f);
 
         arrow1 = new Bezier();
         arrow1Renderer = new FlatBezierRenderer(arrow1, 3, 0.05f);
@@ -50,7 +50,10 @@
 
         setupArrow(arrow1Renderer, gameObject.transform);
         setupArrow(arrow2Renderer, gameObject.transform);
-        update(true);
+
+        foreach (Node node in nodes) {
+            node.update();
+        }
     }
 
     private void setupArrow(FlatBezierRenderer renderer, Transform parent) {