An object is moving in one-dimensional space with a potential funciton V(x) = constant. Find the equation of motion, x(t). Use x_0 as the initial position and v_0 as the initial velocity at t=0.
initial position = x_0
initial velocity = v_0
The Attempt at a Solution
Now, this is for a physical chemistry II course, and I haven't had any Classical Mechanics in about three years (I'm a Chemistry major). Our instructor wanted to have us do a few Classical Mechanics problems for review and perhaps, to bridge to Hamiltonian physics. However, the text doesn't provide any information about classical mechanics, and I've only had minimal success understanding information from the internet regarding my problem. I was mostly wondering if someone could explain or clarify how the potential function, given by V(x) = constant is related to an equation of motion. I know this may seem simple and silly, but please indulge my ignorance, I'm eager to learn. But anyway, from parsing a few sites, I came up with a generic equation:
x (t) = (1/2)a*t^2 + v_0*t + x_0
Where, a is the acceleration, v_0 is the initial velocity, and x_0 is the initial position. I don't know if this is even close to what I'm supposed to be doing, can someone help?
Thanks for your consideration,