1. The problem statement, all variables and given/known data A 30.0 kg particle is initially at x=0 and has a velocity of 5.50 m/s. It encounters a position-dependent net force F(x) described by the graph shown (the graph continues indefinitely in the manner shown past x=20.0 m). Diagram: http://img137.imageshack.us/img137/9502/forcegraph.jpg [Broken] A.) How fast is the particle moving at x = 3.00 m? I have already obtained an answer of v = 5.95m/s and it is correct This is what I would like help for: B.) How far does the particle travel along the x-axis before being brought to rest by the force? (Note: The answer is not 8 m or 20 m. You may safely assume for simplicity that the final position is greater than 8 m.) 2. Relevant equations Wtotal=0.5mvf^2 - 0.5mvi^2 W=F*deltaX 3. The attempt at a solution Wtotal = 0.5(30)(0)^2 - 0.5(30)(5.95)^2 = -453.75J So does xf=Wtotal/slope of graph (F) ? xf=-453.75J/-4 ? Am I doing this correct? THANKS!