A particle starts at the origin (x; = 0) at time t = O. Once it begins moving, the position of the particle as a function of time is given by: (t) = (1.2t) m/s + (-3.2 +2 )m/s? + (-1.4+3) m/s3 Find the particle's velocity as a function of time, vt). 1. Find the particle's initial velocity, vi, the velocity of the particle at time t = 0. 2. Find the particle's acceleration as a function of time, a(t). 3. Find the time that the particle reverses direction. (Hint: note that the function above only describes the motion for v = 0 and t > 0). 4. Find the location where the particle reverses direction