"What is the acceleration vector \(\displaystyle a(x,y,z)\) of a particle of mass \(\displaystyle m0\) and charge \(\displaystyle q0\) when there is a Potential vector\(\displaystyle V(x,y,z) = c0 x3 c1 + x-5 y5 z4\) where '\(\displaystyle c0\)' and '\(\displaystyle c1\)' are constants."

Well I started with the relation

\(\displaystyle V = -W/q0 \) (1)

and \(\displaystyle W = F • d\) (being F and d vectors) (2)

also \(\displaystyle F = m0*a\) (being 'a' a vector) (3)

So I ended up with this equation that relates a and V replacing equation (3) in (2):

\(\displaystyle W = (m0*a) • d \)(4)

And replacing (4) in (1) I have:

\(\displaystyle V = - m0*a*d / q0 \)(5)

Which means:

\(\displaystyle a = - V*q0 / m0*d\) (6)

Here I got stuck and don't know how to proceed. I appreciate very much any help.