A graphing calculator is required for the following problem. A particle moves along a straight line. For 0 s t s 5, the position of the particle is given by s(t) = 3t + 4t2 -+3. a) What is the average velocity of the particle over the interval 0 S t s 4? b) Find a general expression for the velocity of the particle as a function of time, v(t), and determine the value of v at t = 2. Is the particle traveling to the left or the right at this point? Justify your answer. c) Find all times, t, during the interval 0 s t s 5 that the particle changes direction. Justify your answer. d) At t = 4, is the speed of the particle increasing or decreasing? Justify your