1. The problem statement, all variables and given/known data A particle leaves the origin with an initial velocity v = 3.92i , in m/s. It experiences a constant acceleration a = -1.00i -0.80j , in m/s2. What is the velocity of the particle when it reaches its maximum x coordinate? i-component of velocity? j-component of the velocity? When does it reach its maximum x coordinate? Where is the particle at this time? i-component of position? j-component of position? 2. Relevant equations Trying to figure this out... 3. The attempt at a solution I've been pondering this problem for a while now and I'm stumped. I realize that the object is given an initial velocity in the x direction. Due to its acceleration, it will eventually stop moving altogether. However, I have no clue how the "maximum x" value comes into play, or how I can find it. I'm looking over the kinematics formulas and I can't seem to get them to where I do not have two unknown variables. If anyone could give me a pointer as to how I should approach this problem, I would greatly appreciate it.