19. a ball is thrown across a playing field from a height of 5 above the ground at an angle of 45 degrees to the horizontal at a speed of 20 ft/s. it can be deduced from physical principles that the path of the ball is mdeled by 32 y=- x +x+5 function (20) where x is the distance in feet that the ball has traveled horizontally a) find the maximum height attained by the ball. b) find the horizontal distance the ball has traveled when it hits the ground. 20. carol has 2400 ft of fencing to fence in a rectangular horse corral. a) find a function that models the area of the corral in terms of the width x of the corral. b) find the dimensions of the rectangle that maximize the area of the corral.