# Potential and Differential equations

1. Sep 8, 2010

### abramsay

1. The problem statement, all variables and given/known data
A particle of mass m = 3kg moves in the xy plane under the influence of a force field having potential φ = 12x(3y - 4x)
The particle starts at a point with position vector r = 10i - 10j.
a) set up the differential equations and conditions describing the motion.
b) solve th differential equations set up.
c) Find the position at any time.
d) Find the velocity at any time

2. Relevant equations

3. The attempt at a solution
Really I can't do (a) and (b) but I know I would need it to solve (c) and (d)

2. Sep 8, 2010

### gabbagabbahey

What force does the given potential exert on the particle? What does Newton's 2nd law tell you about the effect of that force on the particle? How is acceleration $\textbf{a}(t)$ related to position $\textbf{r}(t)$?