Question

This Question: 1 pt 14 of 20 (11 con A ball is thrown upward and outward from a height of 8 feet. The height of the ball, flx), in feet, can be modeled by f(x) = -0.1X2 +0.7x+8 where x is the balls horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c). a. What is the maximum height of the ball and how far from where it was thrown does this occur? The maximum height is feet, which occurs feet from the point of release. (Round to the nearest tenth as needed.) b. How far does the ball travel horizontally before hitting the ground? feet (Round to the nearest tenth as needed.) c. Graph the function that models the ball's parabolic path. Choose the correct graph below ОА. OB C. 25 20 Q 1 a int 25 20 15- Click to select your answers) Type here to search o RE 33 E hp ? IO 144 @ # LA 1 % 2 3 4 & 5 CO 7 8

Answer 1

Ginen function is- tex) = -0.122 +0.72 +8 a) To find the maximum height, when t'(x)=0 Hence- d'(x)=-0.22 +0.7 Put f'(x)=0 -0.23 + 0.750 x=7/2= = 3.5 feet. put 7/2 in ginen equltian) maximum height= -0.149 4 + 0.77 2 +B Maximum height =) 9.225 feet at x=3.5 feet b) when ball hitting the ground fex)=0 Hence => 0 1x² +6.78+8=0 2= -0.77 10.49 + 3.2 Distance before hitting 2 x=13.10 feet 9.225 a teet) 13.10