algorithm find how long each segment of a path will take at a constant speed

Hi James-1709,
You can use the Math.Sqrt function to calculate the distance of each segment according to the coordinates, and then calculate the time of each segment with the known speed.
Here is a simple code example:

List<float> time = new List<float>();  
List<Point> pointsOfList = new List<Point>();  
private void Form1_Load(object sender, EventArgs e)  
{  
    pointsOfList.Add(new Point(1, 2));  
    pointsOfList.Add(new Point(3, 4));  
    pointsOfList.Add(new Point(5, 6));  
    pointsOfList.Add(new Point(7, 8));  
    pointsOfList.Add(new Point(9, 10));  
    for (int i=0;i<pointsOfList.Count-1;i++)   
    {  
        var t = GetTime(i, i+1);  
        time.Add(t);    
    }  
}  
public float GetTime(int startIndex, int endIndex)  
{  
    float speed = 0.5f;  
    float S1 = GetDistance(pointsOfList[startIndex], pointsOfList[endIndex]);  
    float t1 = S1 / speed;  
    return t1;  
}  
public static float GetDistance(Point startPoint, Point endPoint)  
{  
    int x = System.Math.Abs(endPoint.X - startPoint.X);  
    int y = System.Math.Abs(endPoint.Y - startPoint.Y);  
    return (float)Math.Sqrt(x * x + y * y);  
}  

Best Regards,
Daniel Zhang

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