4. Consider the graph shown below which describes the velocity versus time for a particle moving along the horizontal axis. a) If the initial position of a particle is given by p(0) = 7, what is the position of the particle after 8 seconds? (5 points) v(t) 4 6 2 24 6 -2 b) What is the absolute minimum for p(t)? (5 points) -4 -6 00 8 10 12 c) Write a piecewise function to describe the velocity of the particle, then write a piecewise function to describe the position on each interval. (10 points) Write your answers in the space below, or in your AP Calculus notebook: 24 14 16 time