using System;
using L=Science.Physics.GeneralPhysics;

namespace Serway.Chapter39
{
	/// <summary>
	/// Example09: Relativistic Leaders of the Pack
	/// Two motorcycle pack leaders named David and Emily are 
	/// racing at relativistic speeds along perpendicular paths, 
	/// as shown in Figure 39.17. How fast does Emily recede as 
	/// seen by David over his right shoulder?
	/// </summary>
	public class Example09
	{
		public Example09()
		{
		}
		private string result;
		public string Result
		{
			get{return result;}
		}
		public void Compute()
		{
			L.Velocity v = new L.Velocity();
			v.X = 0.75*L.Constant.SpeedOfLightInVacuum;
			L.Velocity u = new L.Velocity();
			u.Y = -0.90*L.Constant.SpeedOfLightInVacuum;
			L.Velocity up = new L.Velocity();
			L.Relativity.LorentzTransformationForVelocity(u,up,v);
			result+=Convert.ToString(up.X/L.Constant.SpeedOfLightInVacuum)+"\r\n";  
			result+=Convert.ToString(up.Y/L.Constant.SpeedOfLightInVacuum)+"\r\n";  
			result+=Convert.ToString(up.Norm/L.Constant.SpeedOfLightInVacuum)+"\r\n";  
		}
	}
}
/*
-0.75
-0.595294044989533
0.957535900110278
*/