at .We have placed a particle of mass
At we have given it a velocity of .In the whole co-ordinate plane the force is given by
The title says solve for trajectory but I am telling you that the trajectory of the particle is ellipse.If the eccentricity of the ellipse is given by where are co-prime integers and a is square free then find
Details and Assumptions
2)There are no other force acting on the particle except the force given.
3) Ignore gravity