A graphing calculator is required for the following problem. A particle moves along a straight line. For 0 5 ts 5, the position of the particle is given by $05) = 3!: + 41:2 153. a) What is the average velocity of the particle over the interval 0 5 ts 4? b) Find a general expression for the velocity of the particle as a function of time, 120:), 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 5 ts 5 that the particle changes direction. Justify your answer. d) At t = 4, is the speed of the particle increasing or decreasing? Justify your