1. The problem statement, all variables and given/known data The question is: A 2 kg particle is moving in the positive x direction with the speed of 5 m/s. As it passes the origin, a force F = (30 N - 2N/s*t)i is applied to it. Where does the particle come to a stop? 2. Relevant equations F=ma W = integral F(x)dx K=.5mv^2 3. The attempt at a solution K1 = .5(2)(5)^2 = 25 J K2 = .5(2)(0)^2 = 0 J W = K2-K1= -25 J My main issue is I'm not sure how to rewrite the force equation in terms of x, since I can use it in the formula Work = integral F(x)dx from 0 to x to solve for x. Thanks!