2) Example: A particle travels along the y-axis according to the position function y (t) =13 - 7+2 + 8t+1 during the interval [0,5 where t is in seconds. a) At t = 1 is the particle traveling up or down? Give a reason for your answer. b ) When does the particle reach it maximum height on the y-axis? What is the maximum height? c) When does the particle reach its minimum height on the y-axis? What is the minimum height? d) At what time does the particle reach its minimum velocity? What is the minimum velocity? e) At what time does the particle reach its maximum velocity? What is the maximum velocity? ( ) At what time does the particle reach its minimum acceleration? What is the minimum acceleration? g) At what time does the particle reach its maximum acceleration? What is the maximum acceleration? h) At t = 2, is the speed of the particle increasing or decreasing? Justify your answer. i) At t = 3, is the speed of the particle increasing or decreasing? Justify your