2. The velocity of a particle moving along an x-axis as a function of time is given by v(t) = 12 - 4t m/s where x = 4 m at t=0 s. a) Determine equations for the position and acceleration of the particle as a function of time. b) Find the position, velocity and acceleration of the particle at t = 3 s. Express your final answers in Cartesian vector form. c) Graph x(t) vs t, v(t) vs t and a(t) vs t for 0 st 5 s. d) In words, briefly describe the motion of the particle over the first 5s of its motion. Comment on the position of the particle, direction travelled, the speed of the particle, if the speed is increasing or decreasing, and the distance travelled as a function of time.