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## Homework Statement

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?

## Homework Equations

Trying to figure this out...

## 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.