Part A: An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation () = −162 + 80 where t is time in seconds and f(t) is height in feet. Find how long it will take the arrow to hit the ground using an algebraic method. Show all of your reasoning/steps used with this algebraic method. Part B: Using the information in Part A, find how high the arrow will go at its maximum height, and how long it takes for this to occur using an algebraic method. Show all of your reasoning used with this algebraic method.