Problem

A particle having mass

m

and charge

q

is released from the origin in a region in which electric field and magnetic field are given by

\mathbf{B} = -B_0 \hat{\mathbf{j}} \quad \text{and} \quad \mathbf{E} = E_0 \hat{\mathbf{k}}

Find the

y

-component of the velocity and the speed of the particle as a function of its

z

-coordinate.