I am stuck with the following question. This is a question posted to me by my physicist friend
Attached is the figure of a ellipse with a formula of . In other word, it has a horizontal radius of 1.5 units and vertical radius of 1 unit.
Now, suppose I launch a light from the coordinates (-1.5,0.0) at an angle alpha in such a way that the light will experience reflection on the surface. How am I going to find all the coordinates when the light hit the surface.
My approach is to find the derivative. Hence I got . Then I extend the line until it hit the surface and I check the coordinates. Draw the tangent line and reflect it with protractor manually.
The process is rather tedious since extending the line is not really a rigorous proven way. I hope to hear whether is there any alternative better way of finding the coordinates
Thanks and hope for your help