This is a question from Bangladesh Physics Olympiad:
Draw the trajectory of the charge $+q$ .Necessary informations are given in the figure. $B$ is the magnetic field.
What I want to know is whether there is enough information to get the parametric equation for $x, y$ - co-ordinates or not?
So far, I have been only able to roughly draw the trajectory. As the instantneous radius for a moving charged particle $r=\frac{mv}{qB}$ and the instantneous velocity of the particle is going to increase always due to gravity; the instantneous radius of the trajectory will increase. So, the curvature of trajectory will decrease in time.
But, I want to work out the parametric equation for the trajectory. But I don't know how to. Any hints?
