X-axis to the position function

AP Calculus Problem Set 2911/9/12Upon completion, circle one of the following to assess your current understanding:Completely understand Mostly understandSort of understandDon’t understand1) A particle travels along the x-axis according to the position function x(t) =43 -2t2 + 20t-2during the interval [2, 6] where t is in seconds.At t = 3, is the particle traveling to the left or to the right? Justify your answer.When is the particle furthest to the left? What is its position then?C)When is the particle furthest to the right? What is its position then?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?f)At what time does the particle reach its minimum acceleration? What is the minimumacceleration?g) At what time does the particle reach its maximum acceleration? What is the maximumacceleration?h) At t = 2, is the speed of the particle increasing or decreasing? Justify your answer.i) At t = 6, is the speed of the particle increasing or decreasing? Justify your answer.