If a ball is thrown upward at 49 meters per second from the top of a building that is 35 meters high, the height of the ball can be modeled by S= 35+ 49t - 4.9t, where tis the number of seconds after the ball is thrown. Answer parts a through c. a. Find the t-coordinate and S-coordinate of the vertex of the graph of this quadratic function. The t-coordinate of the vertex of the graph of this quadratic function is t= (Simplify your answer.) The S-coordinate of the vertex of the graph of this quadratic function is (Simplify your answer.) b. Explain the meaning of the coordinates of the vertex for this model. Choose the correct explanation below. O A. The ball hits the ground after 6 seconds at a speed of 152.3 meters per second. B. The ball reaches its maximum height of 157.5 meters in 5 seconds. OC. The ball reaches its maximum height of 5 meters in 157.5 seconds. O D. The ball reaches its maximum speed of 152.3 meters per second in 6 seconds. c. Over what time interval is the function increasing? What does this mean in relation to the ball? Next

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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If a ball is thrown upward at 49 meters per second from the top of a building that is 35 meters high, the height of the ball can be modeled by S= 35+ 49t - 4.9t, where
t is the number of seconds after the ball is thrown.
Answer parts a through c.
****
a. Find the t-coordinate and S-coordinate of the vertex of the graph of this quadratic function.
The t-coordinate of the vertex of the graph of this quadratic function is t=.
(Simplify your answer.)
The S-coordinate of the vertex of the graph of this quadratic function is
(Simplify your answer.)
10
10
b. Explain the meaning of the coordinates of the vertex for this model. Choose the correct explanation below.
O A. The ball hits the ground after 6 seconds at a speed of 152.3 meters per second.
O B. The ball reaches its maximum height of 157.5 meters in 5 seconds.
O C. The ball reaches its maximum height of 5 meters in 157.5 seconds.
O D. The ball reaches its maximum speed of 152.3 meters per second in 6 seconds.
c. Over what time interval is the function increasing? What does this mean in relation to the ball?
Next
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O 51°F Sunny A
12/12/2021
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Transcribed Image Text:If a ball is thrown upward at 49 meters per second from the top of a building that is 35 meters high, the height of the ball can be modeled by S= 35+ 49t - 4.9t, where t is the number of seconds after the ball is thrown. Answer parts a through c. **** a. Find the t-coordinate and S-coordinate of the vertex of the graph of this quadratic function. The t-coordinate of the vertex of the graph of this quadratic function is t=. (Simplify your answer.) The S-coordinate of the vertex of the graph of this quadratic function is (Simplify your answer.) 10 10 b. Explain the meaning of the coordinates of the vertex for this model. Choose the correct explanation below. O A. The ball hits the ground after 6 seconds at a speed of 152.3 meters per second. O B. The ball reaches its maximum height of 157.5 meters in 5 seconds. O C. The ball reaches its maximum height of 5 meters in 157.5 seconds. O D. The ball reaches its maximum speed of 152.3 meters per second in 6 seconds. c. Over what time interval is the function increasing? What does this mean in relation to the ball? Next 1:34 PM O 51°F Sunny A 12/12/2021 P Type here to search
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