Position of particle in a magnetic field

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Homework Statement

I am wanting to get position (x and y) of a particle moving in a magnetic field as a function of time.
So, we have a particle of mass m, charge q, velocity (Vx,0,0) moving in a magnetic field (o,o, Bz) starting at t=0 as (0,0,0), what is X(t) and Y(t).

Homework Equations

Lorentz Force F=q(VxB)
F=Ma

The Attempt at a Solution

Ax = q Vy Bz
Ay = - q Vx Bz

follows that

X(y,t) = (q.Y.Bz + A1)t + A2
Y(x,t) = (-q.X.Bz +A3)t + A4

but not sure where to go from here


cheers

Gareth

 

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No ideas?