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
` vecB =- B_0vecJ and vecE - E_0 vecK.`
Find the speed of the particle as a function of its z-coordinate.

Explanation

To find the speed of a particle as a function of its z-coordinate when it is released in an electric and magnetic field, we can follow these steps:

### Step 1: Understand the Forces Acting on the Particle
The particle has a charge \( q \) and mass \( m \). It is subjected to an electric field \( \vec{E} = -E_0 \hat{k} \) and a magnetic field \( \vec{B} = -B_0 \hat{j} \). The electric field will exert a force on the charged particle, while the magnetic field will not exert a force on the particle if it is initially at rest and moving along the z-axis.

### Step 2: Calculate the Electric Force
The electric force \( \vec{F}_E \) acting on the particle can be calculated using the equation:
\[
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