A ball is thrown across a playing field from a height of h = 3 ft above the ground at an angle of 450 to the horizontal at the speed of 20 ft/s. It can be deduced from physical principles that the path of the ball is modeled by the function 32 y = x2 + x+3 (20)2 where x is the distance in feet that the ball has traveled horizontally. (a) Find the maximum height attained by the ball. (Round your answer to three decimal places.) 6.125 I ft (b) Find the horizontal distance the ball has traveled when it hits the ground. (Round your answer to one decimal place.) x f