I had originally asked this question on math overflow and it was suggested that I ask it here.
So I know that a force will change the magnitude of velocity if it is at an angle other that 90 degrees. If the force is perpendicular to the velocity it will cause the path of the object to curve in a circular motion and the magnitude will remain constant. My problem is that that is all I know.
I'm working on a program to model a charged particle in a magnetic field. I'm using the equation for the Lorentz force to calculate the force on the particle but I don't know where to go from there. I have searched online with no success. All I can find is a general description of how a force will change velocity.
My question is how does a force vector affect a velocity vector mathematically and how can I use a known force and velocity to determine a new velocity?