3) A particle moves along the x-axis with a velocity given by v(t)=4t-2 and p(1) = 4. Show work and justifications. (a) Find the equation for the position of the particle as a function of t, p(t). (b) Find the position of the particle of t = 3. (c) At what values of t does the particle change direction? (d) What is the position of the particle when at rest?