1. The problem statement, all variables and given/known data A particle leaves its initial position x0 at time t=0 moving in the positive x direction with speed v0 but undergoing acceleration of magnitude a in the negative x direction. Find expressions for 1) the time when it returns to its initial position and 2)the speed when it passes that point. 2. Relevant equations 3. The attempt at a solution Wouldn't it stop first before returning to its initial position? Is it relevant that 2(xf-x0) is the total distance to return?