44x If a basketball player shoots a foul shot, releasing the ball at a 45-degree angle...
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44x If a basketball player shoots a foul shot, releasing the ball at a 45-degree angle from a position 6 feet above the floor, then the path of the ball can be modeled by the quadratic function, h(x) = + x + 6, where h is the height of the ball above the floor, x is v the forward distance of the ball in front of the foul line, and v is the initial velocity with which the ball is shot in feet per second. Suppose a player shoots a ball with an initial velocity of 26 feet per second. Answer parts (a)-(e) below. (a) Determine the height of the ball after it has traveled 2 feet in front of the foul line. The height of the ball is ft. (Round to two decimal places as needed.) (b) Determine the height of the ball after it has traveled 8 feet in front of the foul line. The height of the ball is ft. (Round to two decimal places as needed.) (c) Find additional points and graph the path of the basketball. O A. 15- 0 25 O Yes O No Q O B. A. The initial velocity must be feet per second. (Round to two decimal places as needed.) 15- OB. There is no solution. to 0 (d) The center of the hoop is 10 feet above the floor and 15 feet in front of the foul line. Will the ball go through the hoop? X 25 O C. Ay 15- 0 X 25 (e) If not, with what initial velocity must the ball be shot in order for the ball to go through the hoop? Select the correct choice below and fill in any answer boxes in your choice. Q D. 15- 0+ 0 X 25 44x If a basketball player shoots a foul shot, releasing the ball at a 45-degree angle from a position 6 feet above the floor, then the path of the ball can be modeled by the quadratic function, h(x) = + x + 6, where h is the height of the ball above the floor, x is v the forward distance of the ball in front of the foul line, and v is the initial velocity with which the ball is shot in feet per second. Suppose a player shoots a ball with an initial velocity of 26 feet per second. Answer parts (a)-(e) below. (a) Determine the height of the ball after it has traveled 2 feet in front of the foul line. The height of the ball is ft. (Round to two decimal places as needed.) (b) Determine the height of the ball after it has traveled 8 feet in front of the foul line. The height of the ball is ft. (Round to two decimal places as needed.) (c) Find additional points and graph the path of the basketball. O A. 15- 0 25 O Yes O No Q O B. A. The initial velocity must be feet per second. (Round to two decimal places as needed.) 15- OB. There is no solution. to 0 (d) The center of the hoop is 10 feet above the floor and 15 feet in front of the foul line. Will the ball go through the hoop? X 25 O C. Ay 15- 0 X 25 (e) If not, with what initial velocity must the ball be shot in order for the ball to go through the hoop? Select the correct choice below and fill in any answer boxes in your choice. Q D. 15- 0+ 0 X 25
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