Questions A football is thrown by a quarterback to a receiver. The points in the figure show the height of the football, in feet, above the ground in terms of its distance, in yards, from the quarterback. Use this information to answer the following questions (Q1 to Q5). 10 D BReceiver Quarterback 4 8 12 16 20 24 28 32 36 40 Distance of the Football from the Quarterback (yards) 1. Find the coordinates of point A. Then interpret the coordinates in terms of the information given. 2. Find the coordinates of point B. Then interpret the coordinates in terms of the information given. 3. Estimate the coordinates of point D. Football's Height Above the Ground (feet)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Questions
A football is thrown by a quarterback to a receiver. The points in the
figure show the height of the football, in feet, above the ground in
terms of its distance, in yards, from the quarterback. Use this
information to answer the following questions (Q1 to Q5).
B Receiver
Quarterback
4 8 12 16 20 24 28 32 36 40
Distance of the Football from the Quarterback (yards)
1. Find the coordinates of point A. Then interpret the coordinates
in terms of the information given.
2. Find the coordinates of point B. Then interpret the coordinates
in terms of the information given.
3. Estimate the coordinates of point D.
4. What is football's maximum height? What is its distance from
the quarterback when it reaches its maximum height?
5. What is football's height when it is caught by the receiver?
What is the receiver's distance from the quarterback when he
catches the football
6. What is the slope of the line y = 6?
7. Is the graph of x = 6 vertical line or horizontal line? What is its
slope?
8. What is y-intercept of the line 4x + 2y = 12? How di you find
it.
9. Identify an error on the calculation of the slope of the line. The
slope of the line between (-2,4) and (-3, -1) is given by
-1-4
7 = -5
т
-2-(-3)
10. What do we call the coordinate of the point where the graph of
the line cross x-axis?
Football's Height Above
the Ground (feet)
Transcribed Image Text:Questions A football is thrown by a quarterback to a receiver. The points in the figure show the height of the football, in feet, above the ground in terms of its distance, in yards, from the quarterback. Use this information to answer the following questions (Q1 to Q5). B Receiver Quarterback 4 8 12 16 20 24 28 32 36 40 Distance of the Football from the Quarterback (yards) 1. Find the coordinates of point A. Then interpret the coordinates in terms of the information given. 2. Find the coordinates of point B. Then interpret the coordinates in terms of the information given. 3. Estimate the coordinates of point D. 4. What is football's maximum height? What is its distance from the quarterback when it reaches its maximum height? 5. What is football's height when it is caught by the receiver? What is the receiver's distance from the quarterback when he catches the football 6. What is the slope of the line y = 6? 7. Is the graph of x = 6 vertical line or horizontal line? What is its slope? 8. What is y-intercept of the line 4x + 2y = 12? How di you find it. 9. Identify an error on the calculation of the slope of the line. The slope of the line between (-2,4) and (-3, -1) is given by -1-4 7 = -5 т -2-(-3) 10. What do we call the coordinate of the point where the graph of the line cross x-axis? Football's Height Above the Ground (feet)
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